Pith Number

pith:3GDWFYHA

pith:2015:3GDWFYHABJZ3O3EE4QQQ6E55DM

not attested not anchored not stored refs pending

The size of the singular set of a Type I Ricci flow

Panagiotis Gianniotis

arxiv:1510.00581 v2 · 2015-10-02 · 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{3GDWFYHABJZ3O3EE4QQQ6E55DM}

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	2026-05-18T01:00:12.723586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98762e0e00a73b76c84e4210f13bd1b0fed83b3440deb55ecee949e1363efeb

Aliases

arxiv: 1510.00581 · arxiv_version: 1510.00581v2 · doi: 10.48550/arxiv.1510.00581 · pith_short_12: 3GDWFYHABJZ3 · pith_short_16: 3GDWFYHABJZ3O3EE · pith_short_8: 3GDWFYHA

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/3GDWFYHABJZ3O3EE4QQQ6E55DM \
  | 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: d98762e0e00a73b76c84e4210f13bd1b0fed83b3440deb55ecee949e1363efeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf847f506fd45358a2df4fa35e21d9679f9a7f9f4697d8e4e78836f22eca66d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-02T12:42:34Z",
    "title_canon_sha256": "68a182760f183e22c59fedcc5932aabb46588308f6e25aeb456dd3723453efb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00581",
    "kind": "arxiv",
    "version": 2
  }
}