Pith Number

pith:ADK2JK6X

pith:2007:ADK2JK6XLGEDMQ773V7E3CPNBU

not attested not anchored not stored refs pending

Dynamical Systems On Three Manifolds Part II: 3-Manifolds,Heegaard Splittings and Three-Dimensional Systems

Stephen P. Banks (ACSE, University of Sheffield), Yi Song

arxiv:0706.4214 v1 · 2007-06-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADK2JK6XLGEDMQ773V7E3CPNBU}

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	2026-05-18T02:16:29.834452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d5a4abd759883643ffdd7e4d89ed0d0def8a331ee6aa2aa4ace724257beb21

Aliases

arxiv: 0706.4214 · arxiv_version: 0706.4214v1 · doi: 10.48550/arxiv.0706.4214 · pith_short_12: ADK2JK6XLGED · pith_short_16: ADK2JK6XLGEDMQ77 · pith_short_8: ADK2JK6X

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/ADK2JK6XLGEDMQ773V7E3CPNBU \
  | 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: 00d5a4abd759883643ffdd7e4d89ed0d0def8a331ee6aa2aa4ace724257beb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639013096d89bda19a19e39aee1ab90479de494f072ff4ada2c22577232123fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-06-28T12:46:20Z",
    "title_canon_sha256": "a410d9f236ac0175cd634d6fe08bf71c788f7618ed000fe6c80816859301abc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4214",
    "kind": "arxiv",
    "version": 1
  }
}