Pith Number

pith:LS5DAVKR

pith:2015:LS5DAVKR5RWXS4AANOHHON3X25

not attested not anchored not stored refs pending

A note on fine graphs and homological isoperimetric inequalities

Eduardo Martinez-Pedroza

arxiv:1501.01259 v3 · 2015-01-06 · math.GT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LS5DAVKR5RWXS4AANOHHON3X25}

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	2026-05-18T01:20:47.176048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cba305551ec6d7970006b8e773777d748a847d699376c9c94ed469adffe26af

Aliases

arxiv: 1501.01259 · arxiv_version: 1501.01259v3 · doi: 10.48550/arxiv.1501.01259 · pith_short_12: LS5DAVKR5RWX · pith_short_16: LS5DAVKR5RWXS4AA · pith_short_8: LS5DAVKR

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/LS5DAVKR5RWXS4AANOHHON3X25 \
  | 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: 5cba305551ec6d7970006b8e773777d748a847d699376c9c94ed469adffe26af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "922d454af89cbb6034abddc2abfff3906c36addadb87683b89e92eac78ba0ab1",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-06T18:43:49Z",
    "title_canon_sha256": "5da4c9f2c2d3e7372da2370278764aa59bbbbe94d75951861fd98deb55b28ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01259",
    "kind": "arxiv",
    "version": 3
  }
}