Pith Number

pith:IK4M4SAK

pith:2006:IK4M4SAK32L2YQWMAG4MWSCDFC

not attested not anchored not stored refs pending

Manifolds: Hausdorffness versus homogeneity

Alexandre Gabard, Mathieu Baillif

arxiv:math/0609098 v1 · 2006-09-04 · 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{IK4M4SAK32L2YQWMAG4MWSCDFC}

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	2026-05-18T04:01:51.492690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42b8ce480ade97ac42cc01b8cb484328a316364318f2f1e511fbc7f9c09bead2

Aliases

arxiv: math/0609098 · arxiv_version: math/0609098v1 · doi: 10.48550/arxiv.math/0609098 · pith_short_12: IK4M4SAK32L2 · pith_short_16: IK4M4SAK32L2YQWM · pith_short_8: IK4M4SAK

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/IK4M4SAK32L2YQWMAG4MWSCDFC \
  | 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: 42b8ce480ade97ac42cc01b8cb484328a316364318f2f1e511fbc7f9c09bead2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6c90d18f5042892b0cf05c4c80ddcfe9fdfde06408b8dc02429f07807247534",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2006-09-04T13:16:18Z",
    "title_canon_sha256": "7da78737b5299f5330f56387c70a33ce47b471dc9f713169fd8c769a5fb9e0bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609098",
    "kind": "arxiv",
    "version": 1
  }
}