Pith Number

pith:JVIOPDOB

pith:2015:JVIOPDOBYEEVVXMRYLJ2J3F6SR

not attested not anchored not stored refs pending

Small cocycles, fine torus fibrations, and a ${\mathbb Z}^2$ subshift with neither

Alex Clark, Lorenzo Sadun

arxiv:1506.02006 v3 · 2015-06-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVIOPDOBYEEVVXMRYLJ2J3F6SR}

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	2026-05-18T00:50:31.287447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d50e78dc1c1095add91c2d3a4ecbe9470700007ac310710a2cb492cf96fb334

Aliases

arxiv: 1506.02006 · arxiv_version: 1506.02006v3 · doi: 10.48550/arxiv.1506.02006 · pith_short_12: JVIOPDOBYEEV · pith_short_16: JVIOPDOBYEEVVXMR · pith_short_8: JVIOPDOB

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/JVIOPDOBYEEVVXMRYLJ2J3F6SR \
  | 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: 4d50e78dc1c1095add91c2d3a4ecbe9470700007ac310710a2cb492cf96fb334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bb9ed20ca075d8f2caf79b0c9b9e1e2278db1359def425e368eaf3e72d006b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-05T18:31:11Z",
    "title_canon_sha256": "6c4c156d16b7ddf0223490d76b5f0e76ae7a3df1705a158dc5ed3459de0de711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02006",
    "kind": "arxiv",
    "version": 3
  }
}