Pith Number

pith:P5OENDVQ

pith:2015:P5OENDVQE4DTOK6VV452JQDMCG

not attested not anchored not stored refs pending

Infima of length functions and dual cube complexes

Jonah Gaster

arxiv:1505.07944 v2 · 2015-05-29 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5OENDVQE4DTOK6VV452JQDMCG}

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	2026-05-18T00:05:08.154258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5c468eb02707372bd5af3ba4c06c11a1920bab9d0e0448f19f20f615a04efc

Aliases

arxiv: 1505.07944 · arxiv_version: 1505.07944v2 · doi: 10.48550/arxiv.1505.07944 · pith_short_12: P5OENDVQE4DT · pith_short_16: P5OENDVQE4DTOK6V · pith_short_8: P5OENDVQ

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/P5OENDVQE4DTOK6VV452JQDMCG \
  | 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: 7f5c468eb02707372bd5af3ba4c06c11a1920bab9d0e0448f19f20f615a04efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c060265dee1c7d25c06311e9fb51bbca84cd20ceee631dcc1742e1fd1697dc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-29T07:20:46Z",
    "title_canon_sha256": "638d36a75cfd6dcbdd3345ce15b924d9516da9a4d1d99b75fbc7dde105a9bcca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07944",
    "kind": "arxiv",
    "version": 2
  }
}