Pith Number

pith:CQJYQRJR

pith:2013:CQJYQRJRZNA6IYJAOMCWQ762F7

not attested not anchored not stored refs pending

A Whitney map onto the Long Arc

Rodrigo Hern\'andez-Guti\'errez

arxiv:1312.1704 v2 · 2013-12-05 · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQJYQRJRZNA6IYJAOMCWQ762F7}

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	2026-05-18T02:20:20.020207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1413884531cb41e461207305687fda2ffde1f975ff6941a76a0f10af44c6f2cb

Aliases

arxiv: 1312.1704 · arxiv_version: 1312.1704v2 · doi: 10.48550/arxiv.1312.1704 · pith_short_12: CQJYQRJRZNA6 · pith_short_16: CQJYQRJRZNA6IYJA · pith_short_8: CQJYQRJR

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/CQJYQRJRZNA6IYJAOMCWQ762F7 \
  | 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: 1413884531cb41e461207305687fda2ffde1f975ff6941a76a0f10af44c6f2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b683e136e2f1d85319d7a04c3a0815cf8b1fd233d3b1e71cdc9b88cb56ea2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-12-05T21:06:38Z",
    "title_canon_sha256": "aafdfd0524280fc7d534d44090d37a253835c5eededc9c442c50282ef9ab501b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1704",
    "kind": "arxiv",
    "version": 2
  }
}