Pith Number

pith:ZWTOSWMA

pith:2007:ZWTOSWMAEZSSAKUGRLDUHJYAB4

not attested not anchored not stored refs pending

Homogenization of variational problems in manifold valued Sobolev spaces

Jean-Francois Babadjian, Vincent Millot

arxiv:0712.1781 v3 · 2007-12-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWTOSWMAEZSSAKUGRLDUHJYAB4}

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	2026-05-18T03:08:27.589660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda6e959802665202a868ac743a7000f263205826162fcca0cd8d88bd2150825

Aliases

arxiv: 0712.1781 · arxiv_version: 0712.1781v3 · doi: 10.48550/arxiv.0712.1781 · pith_short_12: ZWTOSWMAEZSS · pith_short_16: ZWTOSWMAEZSSAKUG · pith_short_8: ZWTOSWMA

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/ZWTOSWMAEZSSAKUGRLDUHJYAB4 \
  | 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: cda6e959802665202a868ac743a7000f263205826162fcca0cd8d88bd2150825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9de441f8409c62c6aa7554febe1a407df73cd04c0cc78c347ccb10f0069153",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-12-11T17:40:36Z",
    "title_canon_sha256": "208126f6dd661f06d8daae9023edc34e08837708518d7e4bb1d402969b5c2bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1781",
    "kind": "arxiv",
    "version": 3
  }
}