Pith Number

pith:Z2ONCU7V

pith:2010:Z2ONCU7VMKAPIT457WJSKAOCKO

not attested not anchored not stored refs pending

Presentation length and Simon's conjecture

Ian Agol, Yi Liu

arxiv:1006.5262 v3 · 2010-06-28 · 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{Z2ONCU7VMKAPIT457WJSKAOCKO}

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	2026-05-18T04:21:53.061564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9cd153f56280f44f9dfd932501c2539ca89a6d8944ea5f7f236a89d5f5902e

Aliases

arxiv: 1006.5262 · arxiv_version: 1006.5262v3 · doi: 10.48550/arxiv.1006.5262 · pith_short_12: Z2ONCU7VMKAP · pith_short_16: Z2ONCU7VMKAPIT45 · pith_short_8: Z2ONCU7V

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/Z2ONCU7VMKAPIT457WJSKAOCKO \
  | 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: ce9cd153f56280f44f9dfd932501c2539ca89a6d8944ea5f7f236a89d5f5902e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1090a81a8abdbc1bdd2104baba67d1e948f00e64f4f4cfe5635fec8f0c77b4ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-28T04:04:19Z",
    "title_canon_sha256": "975ecb923dbe712eb199598d44f0726f64ca31cd0aaf7630d9d07b7eaba9636d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5262",
    "kind": "arxiv",
    "version": 3
  }
}