Pith Number

pith:ILRN6U2D

pith:2010:ILRN6U2DVWI5OSBFPKDBEXOHFK

not attested not anchored not stored refs pending

M theory and the Coulomb phase of higher rank DT invariants

Haitao Liu

arxiv:1004.1812 v2 · 2010-04-11 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILRN6U2DVWI5OSBFPKDBEXOHFK}

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

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	2026-05-18T04:37:20.731251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e2df5343ad91d748257a86125dc72a884e3d10a497d443051cd46dac8fb7ff

Aliases

arxiv: 1004.1812 · arxiv_version: 1004.1812v2 · doi: 10.48550/arxiv.1004.1812 · pith_short_12: ILRN6U2DVWI5 · pith_short_16: ILRN6U2DVWI5OSBF · pith_short_8: ILRN6U2D

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/ILRN6U2DVWI5OSBFPKDBEXOHFK \
  | 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: 42e2df5343ad91d748257a86125dc72a884e3d10a497d443051cd46dac8fb7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9a434bd074b58a0c9fd26935578af0f86ac84aadec6087991a8a6459e3f200",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-11T14:20:09Z",
    "title_canon_sha256": "2a1cd2cd38a525c1f54831124a4c5936efaeae4a99d0083063b1fc2e86497bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1812",
    "kind": "arxiv",
    "version": 2
  }
}