Pith Number

pith:X662LA7O

pith:2005:X662LA7ORUTYEULXDKLI2OXKIP

not attested not anchored not stored refs pending

Intrinsically linked graphs and even linking number

Alexander Diesl, Thomas Fleming

arxiv:math/0511133 v1 · 2005-11-05 · 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{X662LA7ORUTYEULXDKLI2OXKIP}

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	2026-05-18T02:41:31.971103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbda583ee8d278251771a968d3aea43e47672a0d8c8466d56801ad3a9460f34

Aliases

arxiv: math/0511133 · arxiv_version: math/0511133v1 · doi: 10.48550/arxiv.math/0511133 · pith_short_12: X662LA7ORUTY · pith_short_16: X662LA7ORUTYEULX · pith_short_8: X662LA7O

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/X662LA7ORUTYEULXDKLI2OXKIP \
  | 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: bfbda583ee8d278251771a968d3aea43e47672a0d8c8466d56801ad3a9460f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0126140df1874de627ae0abe47b6f2c20398b4a768bf55e2f82484bc66f177",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-11-05T16:01:50Z",
    "title_canon_sha256": "95ae0b68ae7bce6897b4f6124c956b32c8a7888cc32d2705a37468c5e22f5b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511133",
    "kind": "arxiv",
    "version": 1
  }
}