Pith Number

pith:AW6UEU43

pith:2010:AW6UEU43JXJK7GTAUPLGUT4VHB

not attested not anchored not stored refs pending

Existence of Ricci flows of incomplete surfaces

Gregor Giesen, Peter M. Topping

arxiv:1007.3146 v2 · 2010-07-19 · math.AP · 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{AW6UEU43JXJK7GTAUPLGUT4VHB}

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	2026-05-18T04:13:45.850488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05bd42539b4dd2af9a60a3d66a4f9538593295db9af1a5430ff58c81fec3d67b

Aliases

arxiv: 1007.3146 · arxiv_version: 1007.3146v2 · doi: 10.48550/arxiv.1007.3146 · pith_short_12: AW6UEU43JXJK · pith_short_16: AW6UEU43JXJK7GTA · pith_short_8: AW6UEU43

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/AW6UEU43JXJK7GTAUPLGUT4VHB \
  | 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: 05bd42539b4dd2af9a60a3d66a4f9538593295db9af1a5430ff58c81fec3d67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9025de26279ddc82922d4070478d9ced5afe41626845924599d536f5860ada4b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-19T13:28:17Z",
    "title_canon_sha256": "e42e5d52a57233b8e16c2711cd50b0085059efe0e86ab0730d9a8c158b520a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3146",
    "kind": "arxiv",
    "version": 2
  }
}