Pith Number

pith:QZLI6BAI

pith:2013:QZLI6BAILFVKE2R5CHSKBLITBC

not attested not anchored not stored refs pending

Injectivity theorems

Osamu Fujino

arxiv:1303.2404 v3 · 2013-03-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZLI6BAILFVKE2R5CHSKBLITBC}

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	2026-05-18T01:37:23.662090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86568f0408596aa26a3d11e4a0ad1308a77611f149f3421ca69e16af421534b0

Aliases

arxiv: 1303.2404 · arxiv_version: 1303.2404v3 · doi: 10.48550/arxiv.1303.2404 · pith_short_12: QZLI6BAILFVK · pith_short_16: QZLI6BAILFVKE2R5 · pith_short_8: QZLI6BAI

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/QZLI6BAILFVKE2R5CHSKBLITBC \
  | 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: 86568f0408596aa26a3d11e4a0ad1308a77611f149f3421ca69e16af421534b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe211213281f2b5ad7555866517cbc3668edd7d6266a017ac2e0953b08f6edb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-11T00:44:35Z",
    "title_canon_sha256": "52962c0a7b508c75250c68763a627f5be72c330d2702c8b216ccd2a9ddfbc67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2404",
    "kind": "arxiv",
    "version": 3
  }
}