Pith Number

pith:ZWKPP2RM

pith:2018:ZWKPP2RMZRXXX3DQFRMRHMOYEZ

not attested not anchored not stored refs pending

Homotopic distance between maps

D. Mosquera-Lois, E. Mac\'ias-Virg\'os

arxiv:1810.12591 v3 · 2018-10-30 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWKPP2RMZRXXX3DQFRMRHMOYEZ}

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	2026-05-17T23:39:57.983813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd94f7ea2ccc6f7bec702c5913b1d82647e24cea546b4bfd0726c963a65f6b6b

Aliases

arxiv: 1810.12591 · arxiv_version: 1810.12591v3 · doi: 10.48550/arxiv.1810.12591 · pith_short_12: ZWKPP2RMZRXX · pith_short_16: ZWKPP2RMZRXXX3DQ · pith_short_8: ZWKPP2RM

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/ZWKPP2RMZRXXX3DQFRMRHMOYEZ \
  | 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: cd94f7ea2ccc6f7bec702c5913b1d82647e24cea546b4bfd0726c963a65f6b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4bcfd6c0e97fc60dced262cf58e0647542f0ae11e19ca068b437fc80f70749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-10-30T09:03:19Z",
    "title_canon_sha256": "d8bfc1deb5ad60d347b05dcedf62d26addba9aab256596efce55f53fdc728d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12591",
    "kind": "arxiv",
    "version": 3
  }
}