Pith Number

pith:TBXOHVLX

pith:2011:TBXOHVLXP62ZVT5APUMQ6O4BZS

not attested not anchored not stored refs pending

A coarea-type formula for the relaxation of a generalized elastica functional

Giacomo Nardi (LJLL), Simon Masnou (ICJ)

arxiv:1112.2090 v1 · 2011-12-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBXOHVLXP62ZVT5APUMQ6O4BZS}

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	2026-05-18T04:06:44.129739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986ee3d5777fb59acfa07d190f3b81cc865b234725d36b5ea9a0448d54bf9bac

Aliases

arxiv: 1112.2090 · arxiv_version: 1112.2090v1 · doi: 10.48550/arxiv.1112.2090 · pith_short_12: TBXOHVLXP62Z · pith_short_16: TBXOHVLXP62ZVT5A · pith_short_8: TBXOHVLX

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/TBXOHVLXP62ZVT5APUMQ6O4BZS \
  | 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: 986ee3d5777fb59acfa07d190f3b81cc865b234725d36b5ea9a0448d54bf9bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5b067ccf6503d4a25be2a7bf18b2e95b08a68b1d8d7a6d9dc7b2a969b46131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-09T13:13:00Z",
    "title_canon_sha256": "8ea176b8e833a891d69a7fe025e9df1f3d9a58146aa1924cbcaee207d28b106f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2090",
    "kind": "arxiv",
    "version": 1
  }
}