Pith Number

pith:AFYY5EFJ

pith:2005:AFYY5EFJWKPYBGWUT2UKYAFPI3

not attested not anchored not stored refs pending

Coarse dimensions and partitions of unity

J.Dydak, N.Brodskiy

arxiv:math/0506547 v3 · 2005-06-27 · math.GT · 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{AFYY5EFJWKPYBGWUT2UKYAFPI3}

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	2026-05-18T01:05:23.358321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01718e90a9b29f809ad49ea8ac00af46ed286dd76a706715772d2163cbfe1475

Aliases

arxiv: math/0506547 · arxiv_version: math/0506547v3 · doi: 10.48550/arxiv.math/0506547 · pith_short_12: AFYY5EFJWKPY · pith_short_16: AFYY5EFJWKPYBGWU · pith_short_8: AFYY5EFJ

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/AFYY5EFJWKPYBGWUT2UKYAFPI3 \
  | 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: 01718e90a9b29f809ad49ea8ac00af46ed286dd76a706715772d2163cbfe1475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e69bc730eff4ae3dd0d1386d0a04445743eddca0db7b2c911cc58e865abfd2f",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-06-27T16:42:41Z",
    "title_canon_sha256": "7cbb816a9521054db72d42e0791b56e4fa606c63e18e5e9253c7bfd7f62393c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506547",
    "kind": "arxiv",
    "version": 3
  }
}