Pith Number

pith:AQ4L6PZI

pith:2014:AQ4L6PZIFGA7G77Z2DID5L5GZJ

not attested not anchored not stored refs pending

Chromatic numbers of hyperbolic surfaces

Camille Petit, Hugo Parlier

arxiv:1411.3565 v1 · 2014-11-13 · math.GT · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQ4L6PZIFGA7G77Z2DID5L5GZJ}

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	2026-05-18T02:37:43.440889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0438bf3f282981f37ff9d0d03eafa6ca671ad4f94e339f080d4499f406f49296

Aliases

arxiv: 1411.3565 · arxiv_version: 1411.3565v1 · doi: 10.48550/arxiv.1411.3565 · pith_short_12: AQ4L6PZIFGA7 · pith_short_16: AQ4L6PZIFGA7G77Z · pith_short_8: AQ4L6PZI

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/AQ4L6PZIFGA7G77Z2DID5L5GZJ \
  | 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: 0438bf3f282981f37ff9d0d03eafa6ca671ad4f94e339f080d4499f406f49296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024120434d53d300967e563eab05c5a389a4355d836d62f1ef14bfca61a4d71b",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-13T14:47:29Z",
    "title_canon_sha256": "fc3a862c701fe0064a60517673143359ae3faae8421590ce1057231770b7f46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3565",
    "kind": "arxiv",
    "version": 1
  }
}