Pith Number

pith:Y7ZEI4C5

pith:2015:Y7ZEI4C5WYG4HTEWUA3JINGPI5

not attested not anchored not stored refs pending

Kinematic formulas for area measures

Daniel Hug, Paul Goodey, Wolfgang Weil

arxiv:1507.03353 v1 · 2015-07-13 · 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{Y7ZEI4C5WYG4HTEWUA3JINGPI5}

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	2026-05-18T01:36:58.997291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f244705db60dc3cc96a0369434cf477ea8d8b7ef979e245e3add419c2f3c42

Aliases

arxiv: 1507.03353 · arxiv_version: 1507.03353v1 · doi: 10.48550/arxiv.1507.03353 · pith_short_12: Y7ZEI4C5WYG4 · pith_short_16: Y7ZEI4C5WYG4HTEW · pith_short_8: Y7ZEI4C5

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/Y7ZEI4C5WYG4HTEWUA3JINGPI5 \
  | 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: c7f244705db60dc3cc96a0369434cf477ea8d8b7ef979e245e3add419c2f3c42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98810f3f53ab018e964a40bd3cc56ccf0c08f19d66217bfcd80d7ce980561bd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-13T08:13:18Z",
    "title_canon_sha256": "2b2e32cdc40afd27e4334844d94f23b43e8352d49e17650eb2c6d9d9fb9f7846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03353",
    "kind": "arxiv",
    "version": 1
  }
}