Pith Number

pith:7RJCGVWR

pith:2014:7RJCGVWR4KPZM7SPKQDJFL3NZB

not attested not anchored not stored refs pending

Crossing Number Bound in Knot Mosaics

Andrew Kobin, Hugh Howards

arxiv:1405.7683 v3 · 2014-05-29 · 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{7RJCGVWR4KPZM7SPKQDJFL3NZB}

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	2026-05-18T00:14:57.652586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc522356d1e29f967e4f540692af6dc85b4836836933f2b3ce3c7aa999b740f0

Aliases

arxiv: 1405.7683 · arxiv_version: 1405.7683v3 · doi: 10.48550/arxiv.1405.7683 · pith_short_12: 7RJCGVWR4KPZ · pith_short_16: 7RJCGVWR4KPZM7SP · pith_short_8: 7RJCGVWR

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/7RJCGVWR4KPZM7SPKQDJFL3NZB \
  | 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: fc522356d1e29f967e4f540692af6dc85b4836836933f2b3ce3c7aa999b740f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e8199f423ea6bd87eda57e9ff53d96d3edbbed6d31573962c9eb3b7e7286ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-29T19:53:26Z",
    "title_canon_sha256": "fe098ef052f0a9138f9962c8c3487721d678f52bf1c672f49c116202b526aab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7683",
    "kind": "arxiv",
    "version": 3
  }
}