Pith Number

pith:EGGA5TO2

pith:2014:EGGA5TO2IJ6MNUOV55IZ5RBF2P

not attested not anchored not stored refs pending

Versions of injectivity and extension theorems

Shin-ichi Matsumura, Yoshinori Gongyo

arxiv:1406.6132 v2 · 2014-06-24 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGGA5TO2IJ6MNUOV55IZ5RBF2P}

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	2026-05-18T02:46:15.698265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

218c0ecdda427cc6d1d5ef519ec425d3c0e7040c3ad0b9770ed50d09b221c6ab

Aliases

arxiv: 1406.6132 · arxiv_version: 1406.6132v2 · doi: 10.48550/arxiv.1406.6132 · pith_short_12: EGGA5TO2IJ6M · pith_short_16: EGGA5TO2IJ6MNUOV · pith_short_8: EGGA5TO2

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/EGGA5TO2IJ6MNUOV55IZ5RBF2P \
  | 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: 218c0ecdda427cc6d1d5ef519ec425d3c0e7040c3ad0b9770ed50d09b221c6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52daf3feb117ca3a329f449c3a6c33ad37a5d34a959d7aff1f72794712f6fbd1",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-24T04:32:35Z",
    "title_canon_sha256": "e65135844f7116369bafc7f124b70203e85463e3394d8e7e743f3078ca6ffa6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6132",
    "kind": "arxiv",
    "version": 2
  }
}