Pith Number

pith:AV5K5YTK

pith:2015:AV5K5YTK6MHKPLAOKKVKJNHYNB

not attested not anchored not stored refs pending

Dehn surgeries and rational homology balls

Marco Golla, Paolo Aceto

arxiv:1509.07559 v4 · 2015-09-24 · 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{AV5K5YTK6MHKPLAOKKVKJNHYNB}

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	2026-05-18T00:51:18.397141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

057aaee26af30ea7ac0e52aaa4b4f86863a99d8c63779c680b84589d10422c04

Aliases

arxiv: 1509.07559 · arxiv_version: 1509.07559v4 · doi: 10.48550/arxiv.1509.07559 · pith_short_12: AV5K5YTK6MHK · pith_short_16: AV5K5YTK6MHKPLAO · pith_short_8: AV5K5YTK

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/AV5K5YTK6MHKPLAOKKVKJNHYNB \
  | 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: 057aaee26af30ea7ac0e52aaa4b4f86863a99d8c63779c680b84589d10422c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9891c3f756a302dd27c29ed094501bc709953d1052677eb9973d2f3c2322770e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-24T22:51:17Z",
    "title_canon_sha256": "96a357f8fb93bef15af155546cf2413497977f05d9dc422570a25453062f7d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07559",
    "kind": "arxiv",
    "version": 4
  }
}