Pith Number

pith:YDBRXRTO

pith:2017:YDBRXRTOJHMT7CB5EFWUJP2XNK

not attested not anchored not stored refs pending

From Odometers to Circular Systems: A global structure theorem

Benjamin Weiss, Matthew Foreman

arxiv:1703.07093 v1 · 2017-03-21 · 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{YDBRXRTOJHMT7CB5EFWUJP2XNK}

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	2026-05-18T00:48:11.353349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c31bc66e49d93f883d216d44bf576a9bc9f28b157856b3369d770f48ded836

Aliases

arxiv: 1703.07093 · arxiv_version: 1703.07093v1 · doi: 10.48550/arxiv.1703.07093 · pith_short_12: YDBRXRTOJHMT · pith_short_16: YDBRXRTOJHMT7CB5 · pith_short_8: YDBRXRTO

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/YDBRXRTOJHMT7CB5EFWUJP2XNK \
  | 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: c0c31bc66e49d93f883d216d44bf576a9bc9f28b157856b3369d770f48ded836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53d3846ba606ab1a03b982fcd737b013fa929963f7a4d15875c0b0daac24ec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-21T08:38:27Z",
    "title_canon_sha256": "49b2a2ec060ecba5e33a4c17e3502496b505c276c2da864a1ed0bd3c6a59abb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07093",
    "kind": "arxiv",
    "version": 1
  }
}