Pith Number

pith:BSYS3WFT

pith:2013:BSYS3WFT5AIUHXPDANOPDPX6I2

not attested not anchored not stored refs pending

A note on the area and coarea formulas for general volume densities and some applications

Daniel Cibotaru, Jorge de Lira

arxiv:1305.2968 v2 · 2013-05-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSYS3WFT5AIUHXPDANOPDPX6I2}

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	2026-05-18T02:52:42.104836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb12dd8b3e81143dde3035cf1befe46a0575878b0a3776e70c825cf66187b5b

Aliases

arxiv: 1305.2968 · arxiv_version: 1305.2968v2 · doi: 10.48550/arxiv.1305.2968 · pith_short_12: BSYS3WFT5AIU · pith_short_16: BSYS3WFT5AIUHXPD · pith_short_8: BSYS3WFT

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/BSYS3WFT5AIUHXPDANOPDPX6I2 \
  | 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: 0cb12dd8b3e81143dde3035cf1befe46a0575878b0a3776e70c825cf66187b5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc3913c233d75a04e8ad4b073beea90c3d8c88219e4a259d5ca74699191476dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-13T22:24:43Z",
    "title_canon_sha256": "d76bfc0842ad167dc5fc2b2eb5382325ba4cbbec089c70579302221e763d3c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2968",
    "kind": "arxiv",
    "version": 2
  }
}