Pith Number

pith:HGBC2PFW

pith:2011:HGBC2PFWARN3QFW7425DYUEZIZ

not attested not anchored not stored refs pending

A Self-dual Polar Factorization for Vector Fields

Abbas Moameni, Nassif Ghoussoub

arxiv:1101.4979 v2 · 2011-01-26 · 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{HGBC2PFWARN3QFW7425DYUEZIZ}

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	2026-05-18T04:15:47.952456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39822d3cb6045bb816dfe6ba3c5099464f2f681ddf60f8b8dd00ee02008f03f7

Aliases

arxiv: 1101.4979 · arxiv_version: 1101.4979v2 · doi: 10.48550/arxiv.1101.4979 · pith_short_12: HGBC2PFWARN3 · pith_short_16: HGBC2PFWARN3QFW7 · pith_short_8: HGBC2PFW

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/HGBC2PFWARN3QFW7425DYUEZIZ \
  | 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: 39822d3cb6045bb816dfe6ba3c5099464f2f681ddf60f8b8dd00ee02008f03f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae1ab02addbf6f5bc9cb64b2789b50506f1c5cd5c8e6d93910684d1da1356e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-26T00:36:19Z",
    "title_canon_sha256": "3703c9b561eefbd6bd13aa2cc08ee9617d9b69e15b00a46d10fa86e2903b7c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4979",
    "kind": "arxiv",
    "version": 2
  }
}