Pith Number

pith:AB7Z25GV

pith:2015:AB7Z25GVMCFW74KNHFBHHQUVDR

not attested not anchored not stored refs pending

The slope conjecture for graph knots

Kimihiko Motegi, Toshie Takata

arxiv:1501.01105 v3 · 2015-01-06 · 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{AB7Z25GVMCFW74KNHFBHHQUVDR}

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	2026-05-18T01:11:33.710895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007f9d74d5608b6ff14d394273c2951c6498d932e56d68e2559294e4559c2e8f

Aliases

arxiv: 1501.01105 · arxiv_version: 1501.01105v3 · doi: 10.48550/arxiv.1501.01105 · pith_short_12: AB7Z25GVMCFW · pith_short_16: AB7Z25GVMCFW74KN · pith_short_8: AB7Z25GV

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/AB7Z25GVMCFW74KNHFBHHQUVDR \
  | 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: 007f9d74d5608b6ff14d394273c2951c6498d932e56d68e2559294e4559c2e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d285852cc7fac93b967b6562f78b0986264a0083e3c6c77e477879f7457c1841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-06T08:07:51Z",
    "title_canon_sha256": "09c6d682cd65d5c555cd44edb0071fcd6ffe0a324cf667d81092e0c4e9cd51f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01105",
    "kind": "arxiv",
    "version": 3
  }
}