Pith Number

pith:XW24RTWU

pith:2016:XW24RTWU5VSJMRFTFOCRQ7URRF

not attested not anchored not stored refs pending

More on the admissible condition on differentiable maps $\varphi: (X^{\!A\!z},E;\nabla)\rightarrow Y$ in the construction of the non-Abelian Dirac-Born-Infeld action $S_{DBI}(\varphi,\nabla)$

Chien-Hao Liu, Shing-Tung Yau

arxiv:1611.09439 v1 · 2016-11-29 · hep-th · math.AG · math.DG · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XW24RTWU5VSJMRFTFOCRQ7URRF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:56:18.545430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb5c8ced4ed649644b32b85187e918978a900f7abf6813f712609f2c4dd32f2

Aliases

arxiv: 1611.09439 · arxiv_version: 1611.09439v1 · doi: 10.48550/arxiv.1611.09439 · pith_short_12: XW24RTWU5VSJ · pith_short_16: XW24RTWU5VSJMRFT · pith_short_8: XW24RTWU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XW24RTWU5VSJMRFTFOCRQ7URRF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bdb5c8ced4ed649644b32b85187e918978a900f7abf6813f712609f2c4dd32f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a4f519a5f4c20b586d0a4a04d563bdfed3a1b056d541314ffb57f942a4a6a25",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-11-29T00:10:36Z",
    "title_canon_sha256": "b1bd15d8dd3c62062ad29f0ea5196a9e5e838558a8fcc1584a8ded41b042cc18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09439",
    "kind": "arxiv",
    "version": 1
  }
}