Pith Number

pith:AXUGMAGH

pith:2012:AXUGMAGH5JYM7BKHADRFGUG6Q5

not attested not anchored not stored refs pending

Convergence properties of end invariants

Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary, Yair N. Minsky

arxiv:1208.3983 v1 · 2012-08-20 · 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{AXUGMAGH5JYM7BKHADRFGUG6Q5}

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	2026-05-18T03:48:25.562018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e86600c7ea70cf854700e25350de874d070948794012ac880cb616d5aa9833

Aliases

arxiv: 1208.3983 · arxiv_version: 1208.3983v1 · doi: 10.48550/arxiv.1208.3983 · pith_short_12: AXUGMAGH5JYM · pith_short_16: AXUGMAGH5JYM7BKH · pith_short_8: AXUGMAGH

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/AXUGMAGH5JYM7BKHADRFGUG6Q5 \
  | 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: 05e86600c7ea70cf854700e25350de874d070948794012ac880cb616d5aa9833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5651d85db9763b0d173ab33c73a5ceac5882cc3d49e062e87ce85af053e7d96",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-20T11:36:17Z",
    "title_canon_sha256": "ca971a611d4bcde82c3dbabfeebc6876d1e942a49e5f459cd51ed2a9d5380b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3983",
    "kind": "arxiv",
    "version": 1
  }
}