Pith Number

pith:DIG75MCU

pith:2015:DIG75MCUIHGPXRWTXEM2NABKXK

not attested not anchored not stored refs pending

Knots that are not slice either in positons or in negatons

Kouki Sato

arxiv:1512.08869 v2 · 2015-12-30 · 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{DIG75MCUIHGPXRWTXEM2NABKXK}

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	2026-05-18T01:22:50.167033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a0dfeb05441ccfbc6d3b919a6802aba9b5f0bd1f49532c1b98d50ee1c821a7a

Aliases

arxiv: 1512.08869 · arxiv_version: 1512.08869v2 · doi: 10.48550/arxiv.1512.08869 · pith_short_12: DIG75MCUIHGP · pith_short_16: DIG75MCUIHGPXRWT · pith_short_8: DIG75MCU

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/DIG75MCUIHGPXRWTXEM2NABKXK \
  | 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: 1a0dfeb05441ccfbc6d3b919a6802aba9b5f0bd1f49532c1b98d50ee1c821a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "889bb6ffbefa3da5612e68a16c0f16c3d19b14510c80f14b3f23c85e3bc4ff93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-30T07:16:05Z",
    "title_canon_sha256": "864151cccbc8b52cc785bee85573d101c34f46e87957552557b4f1f9be376ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08869",
    "kind": "arxiv",
    "version": 2
  }
}