Pith Number

pith:AAHZ4QD6

pith:2014:AAHZ4QD6YR56SPNVYGVGFB3CUV

not attested not anchored not stored refs pending

MICC: A tool for computing short distances in the curve complex

Kayla Morrell, Matthew Morse, Paul Glenn, William W. Menasco

arxiv:1408.4134 v2 · 2014-08-18 · 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{AAHZ4QD6YR56SPNVYGVGFB3CUV}

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	2026-05-18T01:35:22.637386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

000f9e407ec47be93db5c1aa628762a55f592bdd6586f1e218c2fe3c88dbab9a

Aliases

arxiv: 1408.4134 · arxiv_version: 1408.4134v2 · doi: 10.48550/arxiv.1408.4134 · pith_short_12: AAHZ4QD6YR56 · pith_short_16: AAHZ4QD6YR56SPNV · pith_short_8: AAHZ4QD6

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/AAHZ4QD6YR56SPNVYGVGFB3CUV \
  | 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: 000f9e407ec47be93db5c1aa628762a55f592bdd6586f1e218c2fe3c88dbab9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45896bba1680185d6888f9d3ef9fcf7985b7b352644aa4b0b7096a0fae8c637e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-18T20:00:42Z",
    "title_canon_sha256": "5744288794a2e8b9962ec12a71bde1c114705da701940f164414e7c3f00fb77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4134",
    "kind": "arxiv",
    "version": 2
  }
}