Pith Number

pith:2TGCOYTV

pith:2013:2TGCOYTVDSAXZCIWS4H64LEJVG

not attested not anchored not stored refs pending

Differential inclusions and Young measures involving prescribed Jacobian

Emil Wiedemann, Filip Rindler, Konstantinos Koumatos

arxiv:1312.1820 v3 · 2013-12-06 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TGCOYTVDSAXZCIWS4H64LEJVG}

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	2026-05-18T02:39:16.647305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4cc2762751c817c8916970fee2c89a9a63f069d3a809294a20098e429f5a0f8

Aliases

arxiv: 1312.1820 · arxiv_version: 1312.1820v3 · doi: 10.48550/arxiv.1312.1820 · pith_short_12: 2TGCOYTVDSAX · pith_short_16: 2TGCOYTVDSAXZCIW · pith_short_8: 2TGCOYTV

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/2TGCOYTVDSAXZCIWS4H64LEJVG \
  | 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: d4cc2762751c817c8916970fee2c89a9a63f069d3a809294a20098e429f5a0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de5a6afc38202cfcdf9bcdbe443e65a61cbb4c26e6bd36a96874e4573ed8e7a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-06T10:08:04Z",
    "title_canon_sha256": "d72e1f4677cf2083d45136ee63b59d10b8c2ddf43e9fa9f826a588040e5cdede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1820",
    "kind": "arxiv",
    "version": 3
  }
}