Pith Number

pith:OQCJHHIA

pith:2010:OQCJHHIALDWEYE3W4GXZD4UN3C

not attested not anchored not stored refs pending

Expanding solitons with non-negative curvature operator coming out of cones

Felix Schulze, Miles Simon

arxiv:1008.1408 v2 · 2010-08-08 · 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{OQCJHHIALDWEYE3W4GXZD4UN3C}

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	2026-05-18T03:49:58.678679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7404939d0058ec4c1376e1af91f28dd8aef11c4c1b68803b539744716b243c4b

Aliases

arxiv: 1008.1408 · arxiv_version: 1008.1408v2 · doi: 10.48550/arxiv.1008.1408 · pith_short_12: OQCJHHIALDWE · pith_short_16: OQCJHHIALDWEYE3W · pith_short_8: OQCJHHIA

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/OQCJHHIALDWEYE3W4GXZD4UN3C \
  | 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: 7404939d0058ec4c1376e1af91f28dd8aef11c4c1b68803b539744716b243c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c1bc92ab00d791e94d719dec3ba245599ac597f834227621523ad9afa14430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-08T14:56:00Z",
    "title_canon_sha256": "61f82d19c3b555bc33d68c9c6088d84ad9d3dde08bdedfed107c990296c246ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1408",
    "kind": "arxiv",
    "version": 2
  }
}