Pith Number

pith:YB2Y4FQF

pith:2008:YB2Y4FQFVQRZ72GLHTU753HOOZ

not attested not anchored not stored refs pending

An elementary illustrated introduction to simplicial sets

Greg Friedman

arxiv:0809.4221 v8 · 2008-09-24 · math.AT · math.CT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YB2Y4FQFVQRZ72GLHTU753HOOZ}

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.

Cited by

1 paper in Pith

Hausdorff and Wasserstein metrics on graphs and other structured data

Receipt and verification

First computed	2026-07-05T06:18:57.121495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0758e1605ac239fe8cb3ce9feecee766fffe95b9b60a748eee626747bee113d

Aliases

arxiv: 0809.4221 · arxiv_version: 0809.4221v8 · doi: 10.48550/arxiv.0809.4221 · pith_short_12: YB2Y4FQFVQRZ · pith_short_16: YB2Y4FQFVQRZ72GL · pith_short_8: YB2Y4FQF

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/YB2Y4FQFVQRZ72GLHTU753HOOZ \
  | 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: c0758e1605ac239fe8cb3ce9feecee766fffe95b9b60a748eee626747bee113d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06487af84463d5bec40ff514c3b882803bd93a462e5d97e6b288ec44a2c33547",
    "cross_cats_sorted": [
      "math.CT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-09-24T16:06:48Z",
    "title_canon_sha256": "337013b3dde7404661d408b5da1d6f102ed62184b00c9b48358b8b81270edb82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4221",
    "kind": "arxiv",
    "version": 8
  }
}