Pith Number

pith:CQEHISAJ

pith:2015:CQEHISAJL23E46KWXUERNAKELI

not attested not anchored not stored refs pending

Doubly slice knots with low crossing number

Charles Livingston, Jeffrey Meier

arxiv:1504.03368 v1 · 2015-04-13 · 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{CQEHISAJL23E46KWXUERNAKELI}

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	2026-05-18T01:02:05.186957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14087448095eb64e7956bd091681445a37d2e36142d0c0917d230d1c60a4d902

Aliases

arxiv: 1504.03368 · arxiv_version: 1504.03368v1 · doi: 10.48550/arxiv.1504.03368 · pith_short_12: CQEHISAJL23E · pith_short_16: CQEHISAJL23E46KW · pith_short_8: CQEHISAJ

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/CQEHISAJL23E46KWXUERNAKELI \
  | 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: 14087448095eb64e7956bd091681445a37d2e36142d0c0917d230d1c60a4d902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f91b540f7793d586a3ac6a7f85f51b7276f4ac16a5106d54f649f1505007365",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-13T21:39:56Z",
    "title_canon_sha256": "e3ed78358e261b4f7f4dfb8ff635b2209a486d57f0f4aac498c5e9ac1369556a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03368",
    "kind": "arxiv",
    "version": 1
  }
}