Pith Number

pith:JWTNHGSG

pith:2013:JWTNHGSGN2I6JONKDQEFAXQLPS

not attested not anchored not stored refs pending

Injectivity of Keller Mappings

Yucai Su

arxiv:1310.4782 v7 · 2013-10-17 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWTNHGSGN2I6JONKDQEFAXQLPS}

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	2026-05-18T01:10:46.161333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da6d39a466e91e4b9aa1c08505e0b7cb4892a250a879cba3b06626ad80db3b7

Aliases

arxiv: 1310.4782 · arxiv_version: 1310.4782v7 · doi: 10.48550/arxiv.1310.4782 · pith_short_12: JWTNHGSGN2I6 · pith_short_16: JWTNHGSGN2I6JONK · pith_short_8: JWTNHGSG

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/JWTNHGSGN2I6JONKDQEFAXQLPS \
  | 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: 4da6d39a466e91e4b9aa1c08505e0b7cb4892a250a879cba3b06626ad80db3b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7f838b7095209c5980faaafcd68948ab9214263da51ed7b6a809937cedf320",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-17T17:39:50Z",
    "title_canon_sha256": "fc5d2ead473f574428d5291d9c14fd9b8e905321e982e719898c322270cd2516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4782",
    "kind": "arxiv",
    "version": 7
  }
}