Pith Number

pith:4ODIC7JS

pith:2013:4ODIC7JSPK7CEG634GO3K5T34N

not attested not anchored not stored refs pending

Bounded quotients of the fundamental group of a random 2-complex

Roy Meshulam

arxiv:1308.3769 v1 · 2013-08-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ODIC7JSPK7CEG634GO3K5T34N}

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.

Cited by

1 paper in Pith

Minimal Submanifolds and Waists of Locally Symmetric Spaces

Receipt and verification

First computed	2026-05-18T03:15:42.612490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e386817d327abe221bdbe19db5767be34528114848b789c705a45f2f4220c768

Aliases

arxiv: 1308.3769 · arxiv_version: 1308.3769v1 · doi: 10.48550/arxiv.1308.3769 · pith_short_12: 4ODIC7JSPK7C · pith_short_16: 4ODIC7JSPK7CEG63 · pith_short_8: 4ODIC7JS

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/4ODIC7JSPK7CEG634GO3K5T34N \
  | 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: e386817d327abe221bdbe19db5767be34528114848b789c705a45f2f4220c768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4602864c9ab7eb78a2965033d4523d7f1bdea840fb75db6c4b8c8d0d51226450",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-17T09:36:19Z",
    "title_canon_sha256": "61f049cca4c0e10bfd1e4152a7c2f0b77bb01ccb2d50b83e8958015d0d74a6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3769",
    "kind": "arxiv",
    "version": 1
  }
}