Pith Number

pith:EUQ2ODA7

pith:1999:EUQ2ODA7ATWL6DINI3RPIJLSPB

not attested not anchored not stored refs pending

Bounds on exceptional Dehn filling

Ian Agol

arxiv:math/9906183 v2 · 1999-06-27 · 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{EUQ2ODA7ATWL6DINI3RPIJLSPB}

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	2026-05-18T02:37:59.238798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2521a70c1f04ecbf0d0d46e2f42572784d06354a24ba75987d2da4b8a43c8e3e

Aliases

arxiv: math/9906183 · arxiv_version: math/9906183v2 · doi: 10.48550/arxiv.math/9906183 · pith_short_12: EUQ2ODA7ATWL · pith_short_16: EUQ2ODA7ATWL6DIN · pith_short_8: EUQ2ODA7

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/EUQ2ODA7ATWL6DINI3RPIJLSPB \
  | 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: 2521a70c1f04ecbf0d0d46e2f42572784d06354a24ba75987d2da4b8a43c8e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee1908517a41d1c343fc9c372711cf28b7395f998219a6922e2155b4e955a50",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-06-27T04:47:29Z",
    "title_canon_sha256": "ce918f4f51aa4c11a879ed7a717a2925756c3ebb4bc99613c3110412becd0ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906183",
    "kind": "arxiv",
    "version": 2
  }
}