Pith Number

pith:XKLEXWKR

pith:2011:XKLEXWKRWHVYX25TO57HJUSXY2

not attested not anchored not stored refs pending

On the homotopy test on surfaces

Francis Lazarus, Julien Rivaud

arxiv:1110.4573 v2 · 2011-10-20 · cs.CG · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKLEXWKRWHVYX25TO57HJUSXY2}

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	2026-05-18T04:09:45.415502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba964bd951b1eb8bebb3777e74d257c68042bea058ee801165cfd6645b85e5bd

Aliases

arxiv: 1110.4573 · arxiv_version: 1110.4573v2 · doi: 10.48550/arxiv.1110.4573 · pith_short_12: XKLEXWKRWHVY · pith_short_16: XKLEXWKRWHVYX25T · pith_short_8: XKLEXWKR

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/XKLEXWKRWHVYX25TO57HJUSXY2 \
  | 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: ba964bd951b1eb8bebb3777e74d257c68042bea058ee801165cfd6645b85e5bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a327cac45c560a04a3cca5903ba03721f793da6b17ea812b9e030c34a139e4",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-10-20T16:30:22Z",
    "title_canon_sha256": "f7e55affd246b149940fa33db4c2cfea8406eb44c774345d513cb823e338a31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4573",
    "kind": "arxiv",
    "version": 2
  }
}