Pith Number

pith:YELT4BQX

pith:2010:YELT4BQXTCHFREXMMC7MPKBSYV

not attested not anchored not stored refs pending

Almost harmonic spinors

Jean-Fran\c{c}ois Grosjean, Nicolas Ginoux

arxiv:1011.0951 v1 · 2010-11-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YELT4BQXTCHFREXMMC7MPKBSYV}

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	2026-05-18T04:37:12.070230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1173e0617988e5892ec60bec7a832c57afd61691100e294ae51331bcfeb54e5

Aliases

arxiv: 1011.0951 · arxiv_version: 1011.0951v1 · doi: 10.48550/arxiv.1011.0951 · pith_short_12: YELT4BQXTCHF · pith_short_16: YELT4BQXTCHFREXM · pith_short_8: YELT4BQX

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/YELT4BQXTCHFREXMMC7MPKBSYV \
  | 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: c1173e0617988e5892ec60bec7a832c57afd61691100e294ae51331bcfeb54e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2f2359d39cd5cb2bff99a50fad2d3376c96d27a9d644360ea715f9e63a308c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-03T17:37:50Z",
    "title_canon_sha256": "6111da62e74c6412284cebf099f9aa1d4571f2086f70d06806501b9396482395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0951",
    "kind": "arxiv",
    "version": 1
  }
}