Pith Number

pith:WJCUKQTU

pith:2015:WJCUKQTU7Q2ZYTUD34OLN5I6VR

not attested not anchored not stored refs pending

Homotopy of ringed finite spaces

Fernando Sancho de Salas

arxiv:1511.06284 v1 · 2015-11-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJCUKQTU7Q2ZYTUD34OLN5I6VR}

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	2026-05-18T01:26:25.965814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b245454274fc359c4e83df1cb6f51eac5ba4171f3211823fcb4fd1ee1c201b6f

Aliases

arxiv: 1511.06284 · arxiv_version: 1511.06284v1 · doi: 10.48550/arxiv.1511.06284 · pith_short_12: WJCUKQTU7Q2Z · pith_short_16: WJCUKQTU7Q2ZYTUD · pith_short_8: WJCUKQTU

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/WJCUKQTU7Q2ZYTUD34OLN5I6VR \
  | 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: b245454274fc359c4e83df1cb6f51eac5ba4171f3211823fcb4fd1ee1c201b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe2bcd444cc9c1f820b4c5d4b78645a7254c6469d1261c6dad7405d94625764c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-19T17:59:50Z",
    "title_canon_sha256": "71343124d50343b8377f48008c3dc5b50c9e4cc7135bd99e895ece5c60bde874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06284",
    "kind": "arxiv",
    "version": 1
  }
}