Pith Number

pith:4MNVLDTD

pith:2015:4MNVLDTD5R7W7C3BWEZGZ2S4VV

not attested not anchored not stored refs pending

Abelian Tensors

J.M. Landsberg, Mateusz Micha{\l}ek

arxiv:1504.03732 v2 · 2015-04-14 · math.AG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MNVLDTD5R7W7C3BWEZGZ2S4VV}

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	2026-05-18T01:05:12.859920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31b558e63ec7f6f8b61b1326cea5cad774b661506e344145f2b85ae879d7ad9

Aliases

arxiv: 1504.03732 · arxiv_version: 1504.03732v2 · doi: 10.48550/arxiv.1504.03732 · pith_short_12: 4MNVLDTD5R7W · pith_short_16: 4MNVLDTD5R7W7C3B · pith_short_8: 4MNVLDTD

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/4MNVLDTD5R7W7C3BWEZGZ2S4VV \
  | 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: e31b558e63ec7f6f8b61b1326cea5cad774b661506e344145f2b85ae879d7ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc3a364f66c7c5cb874b337a7d133b8a31bba570d29096704af82bdd741e917",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-14T21:42:12Z",
    "title_canon_sha256": "ea37ee2b82a01d7e10349f0e3809905a753d5ea94afa56671253e5748a498341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03732",
    "kind": "arxiv",
    "version": 2
  }
}