Pith Number

pith:BGGNBE2L

pith:2013:BGGNBE2LJLFMFGXKPE3GQUGBYY

not attested not anchored not stored refs pending

Arbitrarily Long Factorizations in Mapping Class Groups

Elif Dalyan, Mehmetcik Pamuk, Mustafa Korkmaz

arxiv:1309.3778 v3 · 2013-09-15 · 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{BGGNBE2LJLFMFGXKPE3GQUGBYY}

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	2026-05-18T02:44:23.249403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098cd0934b4acac29aea79366850c1c63abde4653f390d54855ca066a5630a9f

Aliases

arxiv: 1309.3778 · arxiv_version: 1309.3778v3 · doi: 10.48550/arxiv.1309.3778 · pith_short_12: BGGNBE2LJLFM · pith_short_16: BGGNBE2LJLFMFGXK · pith_short_8: BGGNBE2L

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/BGGNBE2LJLFMFGXKPE3GQUGBYY \
  | 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: 098cd0934b4acac29aea79366850c1c63abde4653f390d54855ca066a5630a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015af8f7c94ddd0de41879ae2c69838d95dbcc76f293fdcfe2bd98a339d37ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-15T16:55:34Z",
    "title_canon_sha256": "8055a0e692fe906ef19d7722352f646ea4052e2f4f652401109f47e3a2ae89cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3778",
    "kind": "arxiv",
    "version": 3
  }
}