Pith Number

pith:P4TH2T4U

pith:2015:P4TH2T4UNOEGN3OU2OJ7UROI2N

not attested not anchored not stored refs pending

Isometric embedding via strongly symmetric positive systems

Deane Yang, Dehua Wang, Gui-Qiang Chen, Jeanne Clelland, Marshall Slemrod

arxiv:1502.04356 v2 · 2015-02-15 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4TH2T4UNOEGN3OU2OJ7UROI2N}

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	2026-05-18T00:17:20.129233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f267d4f946b8866edd4d393fa45c8d34d34be8a65cc4aa7f5d7a79c785cc8de

Aliases

arxiv: 1502.04356 · arxiv_version: 1502.04356v2 · doi: 10.48550/arxiv.1502.04356 · pith_short_12: P4TH2T4UNOEG · pith_short_16: P4TH2T4UNOEGN3OU · pith_short_8: P4TH2T4U

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/P4TH2T4UNOEGN3OU2OJ7UROI2N \
  | 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: 7f267d4f946b8866edd4d393fa45c8d34d34be8a65cc4aa7f5d7a79c785cc8de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12438b18870e3b8deea811607ca1f087ea66beb1d7bce3ab9d82f847a8a14c1f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-15T20:29:47Z",
    "title_canon_sha256": "68af23c618cc163eec0acba0d1786bfd57e482ddf5944861063f342c6a66c795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04356",
    "kind": "arxiv",
    "version": 2
  }
}