Pith Number

pith:PAP5QTGW

pith:2013:PAP5QTGWWMJHXUL2H3SD2SV4AF

not attested not anchored not stored refs pending

Orientation-preserving Young measures

Emil Wiedemann, Filip Rindler, Konstantinos Koumatos

arxiv:1307.1007 v4 · 2013-07-03 · 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{PAP5QTGWWMJHXUL2H3SD2SV4AF}

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	2026-05-18T02:52:12.594397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781fd84cd6b3127bd17a3ee43d4abc015137a7890b373ee12151be113c4c5025

Aliases

arxiv: 1307.1007 · arxiv_version: 1307.1007v4 · doi: 10.48550/arxiv.1307.1007 · pith_short_12: PAP5QTGWWMJH · pith_short_16: PAP5QTGWWMJHXUL2 · pith_short_8: PAP5QTGW

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/PAP5QTGWWMJHXUL2H3SD2SV4AF \
  | 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: 781fd84cd6b3127bd17a3ee43d4abc015137a7890b373ee12151be113c4c5025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785eeb45e7a257fa997282400105daf9a88b5b87b3254dbb89ff38c5895aa7e2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-03T13:30:57Z",
    "title_canon_sha256": "7136aec3c9602048d01dab8a25961b3a6dc3ff65827d904a8c32d0723d4d49da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1007",
    "kind": "arxiv",
    "version": 4
  }
}