Pith Number

pith:QGIJTII3

pith:2015:QGIJTII3LTOWZZE32FVONXESGO

not attested not anchored not stored refs pending

Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

Jean Dolbeault, Maria J. Esteban, Michael Loss

arxiv:1506.03664 v1 · 2015-06-11 · 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{QGIJTII3LTOWZZE32FVONXESGO}

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	2026-05-18T00:54:20.805909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819099a11b5cdd6ce49bd16ae6dc92339d3d3be6e9dc3cfe18a6f25a959a29c6

Aliases

arxiv: 1506.03664 · arxiv_version: 1506.03664v1 · doi: 10.48550/arxiv.1506.03664 · pith_short_12: QGIJTII3LTOW · pith_short_16: QGIJTII3LTOWZZE3 · pith_short_8: QGIJTII3

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/QGIJTII3LTOWZZE32FVONXESGO \
  | 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: 819099a11b5cdd6ce49bd16ae6dc92339d3d3be6e9dc3cfe18a6f25a959a29c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36af723928a04fe0182b1a6c4893721863f6db02fe9e77a302d0c13488ad94a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-11T13:29:57Z",
    "title_canon_sha256": "ba7e8884cfc6b0a4168d44685204e45e784ef66a5de74701fd454c589cece0db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03664",
    "kind": "arxiv",
    "version": 1
  }
}