Pith Number

pith:YFG7JF3W

pith:2010:YFG7JF3W6LAS4HPM7IE6OUXRZJ

not attested not anchored not stored refs pending

Compact spaces that do not map onto finite products

Antonio Avil\'es

arxiv:1001.4719 v1 · 2010-01-26 · 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{YFG7JF3W6LAS4HPM7IE6OUXRZJ}

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	2026-05-18T02:43:01.052160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14df49776f2c12e1decfa09e752f1ca56ff913ccf5c9874d19916c21d67eabc

Aliases

arxiv: 1001.4719 · arxiv_version: 1001.4719v1 · doi: 10.48550/arxiv.1001.4719 · pith_short_12: YFG7JF3W6LAS · pith_short_16: YFG7JF3W6LAS4HPM · pith_short_8: YFG7JF3W

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/YFG7JF3W6LAS4HPM7IE6OUXRZJ \
  | 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: c14df49776f2c12e1decfa09e752f1ca56ff913ccf5c9874d19916c21d67eabc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0fd41a63b0f1b34c2cef49aa2aa256cd02106df34c106df631c758576ff4f0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-01-26T15:20:51Z",
    "title_canon_sha256": "3b49330018aef16813a8bd9e7de97e72c09232198421edb580e6768f709c894f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4719",
    "kind": "arxiv",
    "version": 1
  }
}