Pith Number

pith:W3BS52U5

pith:2015:W3BS52U5GV4KCYWQJH3ZFVXA5N

not attested not anchored not stored refs pending

Expansive periodic mechanisms

Ciprian S. Borcea, Ileana Streinu

arxiv:1507.03132 v1 · 2015-07-11 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3BS52U5GV4KCYWQJH3ZFVXA5N}

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	2026-05-18T01:36:59.581240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c32eea9d3578a162d049f792d6e0eb57939daff9b5f87d8f22e353c291484f

Aliases

arxiv: 1507.03132 · arxiv_version: 1507.03132v1 · doi: 10.48550/arxiv.1507.03132 · pith_short_12: W3BS52U5GV4K · pith_short_16: W3BS52U5GV4KCYWQ · pith_short_8: W3BS52U5

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/W3BS52U5GV4KCYWQJH3ZFVXA5N \
  | 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: b6c32eea9d3578a162d049f792d6e0eb57939daff9b5f87d8f22e353c291484f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775bda3dad5c461dacc22104ee8cba4e5dda4a5bbcd0c4033db6a23df7311a62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-11T18:00:22Z",
    "title_canon_sha256": "7727e23dbc1996745c7a7aaeeb8d92a9fbee16a31c287c86db54397aa56e1636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03132",
    "kind": "arxiv",
    "version": 1
  }
}