Pith Number

pith:NFMEUH5C

pith:2010:NFMEUH5CRPG54KEZFVGDADCS63

not attested not anchored not stored refs pending

Bridgeman's orthospectrum identity

Danny Calegari

arxiv:1003.5597 v3 · 2010-03-29 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFMEUH5CRPG54KEZFVGDADCS63}

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	2026-05-18T04:41:25.549893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69584a1fa28bcdde28992d4c300c52f6dabce000deaf0c6d7857def7474ea2f5

Aliases

arxiv: 1003.5597 · arxiv_version: 1003.5597v3 · doi: 10.48550/arxiv.1003.5597 · pith_short_12: NFMEUH5CRPG5 · pith_short_16: NFMEUH5CRPG54KEZ · pith_short_8: NFMEUH5C

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/NFMEUH5CRPG54KEZFVGDADCS63 \
  | 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: 69584a1fa28bcdde28992d4c300c52f6dabce000deaf0c6d7857def7474ea2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fc8c09477ce5a7be2f3dc72017258cdda009055a9699607b36e48623b2aa81",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-29T16:26:55Z",
    "title_canon_sha256": "15189228f8c1710c66d8df2345758db2ac6f05dd1d52055d35d63cca3700e590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5597",
    "kind": "arxiv",
    "version": 3
  }
}