Pith Number

pith:JGC5ZJX6

pith:2011:JGC5ZJX6R5DFAYVXVRSTOSC45L

not attested not anchored not stored refs pending

Bridge number and tangle products

Ryan Blair

arxiv:1108.5640 v1 · 2011-08-29 · 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{JGC5ZJX6R5DFAYVXVRSTOSC45L}

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	2026-05-18T04:14:37.082047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4985dca6fe8f465062b7ac6537485ceafbf947188eb3f594dc0be22117580f95

Aliases

arxiv: 1108.5640 · arxiv_version: 1108.5640v1 · doi: 10.48550/arxiv.1108.5640 · pith_short_12: JGC5ZJX6R5DF · pith_short_16: JGC5ZJX6R5DFAYVX · pith_short_8: JGC5ZJX6

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/JGC5ZJX6R5DFAYVXVRSTOSC45L \
  | 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: 4985dca6fe8f465062b7ac6537485ceafbf947188eb3f594dc0be22117580f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe018b2ae10eb57b1ecb686f6313270c1e9a140580c4c5aae06dd44eedd303b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-29T16:33:25Z",
    "title_canon_sha256": "95892308f6aefdc3a39c17dc782aa01e06690f4ec5c8a431390e8bdbad0f35d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5640",
    "kind": "arxiv",
    "version": 1
  }
}