Pith Number

pith:ZU3TKQLW

pith:2011:ZU3TKQLWOUY574Q2XBE44R3M5X

not attested not anchored not stored refs pending

Gradient Young measures, varifolds, and a generalized Willmore functional

Giacomo Nardi (LJLL), Simon Masnou (ICJ)

arxiv:1112.2091 v2 · 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{ZU3TKQLWOUY574Q2XBE44R3M5X}

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	2026-05-18T03:42:11.733369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd373541767531dff21ab849ce476cedcdc06bb3e2baee544d2264a39c6dad61

Aliases

arxiv: 1112.2091 · arxiv_version: 1112.2091v2 · doi: 10.48550/arxiv.1112.2091 · pith_short_12: ZU3TKQLWOUY5 · pith_short_16: ZU3TKQLWOUY574Q2 · pith_short_8: ZU3TKQLW

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/ZU3TKQLWOUY574Q2XBE44R3M5X \
  | 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: cd373541767531dff21ab849ce476cedcdc06bb3e2baee544d2264a39c6dad61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2838f08a821eece11677138f8b922cfac64b41778e806a7d81a32e13b3ddbe3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-09T13:13:35Z",
    "title_canon_sha256": "864df3e2cbd328f349acf23a458aedf199a47b750ebdc243a7910b3f99a58b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2091",
    "kind": "arxiv",
    "version": 2
  }
}