Pith Number

pith:OW47JFIQ

pith:2002:OW47JFIQZEX3OO4OLRV6XXY2ZF

not attested not anchored not stored refs pending

Arc-presentations of links. Monotonic simplification

Ivan Dynnikov

arxiv:math/0208153 v3 · 2002-08-21 · 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{OW47JFIQZEX3OO4OLRV6XXY2ZF}

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	2026-05-18T03:09:34.465852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b9f49510c92fb73b8e5c6bebdf1ac9724544a55a5d7e728bb3aafb4b2b9e85

Aliases

arxiv: math/0208153 · arxiv_version: math/0208153v3 · doi: 10.48550/arxiv.math/0208153 · pith_short_12: OW47JFIQZEX3 · pith_short_16: OW47JFIQZEX3OO4O · pith_short_8: OW47JFIQ

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/OW47JFIQZEX3OO4OLRV6XXY2ZF \
  | 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: 75b9f49510c92fb73b8e5c6bebdf1ac9724544a55a5d7e728bb3aafb4b2b9e85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56ab7305dcbcfdb611a1d96e7322ec39c9a47db68859edd9972a92758d8136bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-08-21T15:31:54Z",
    "title_canon_sha256": "c563d716bd1be8594a04a870497a94330d78e5733da2a5f442b4b30300c2a4de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208153",
    "kind": "arxiv",
    "version": 3
  }
}