Pith Number

pith:SJFXZEPI

pith:2010:SJFXZEPIEUX5T4SLKWZ3F2Y63U

not attested not anchored not stored refs pending

Formal matched asymptotics for degenerate Ricci flow neckpinches

Dan Knopf, James Isenberg, Sigurd B. Angenent

arxiv:1011.4868 v1 · 2010-11-22 · math.DG · 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{SJFXZEPIEUX5T4SLKWZ3F2Y63U}

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	2026-05-18T02:04:42.481378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

924b7c91e8252fd9f24b55b3b2eb1edd0642c673260860a15a52fbee811d9820

Aliases

arxiv: 1011.4868 · arxiv_version: 1011.4868v1 · doi: 10.48550/arxiv.1011.4868 · pith_short_12: SJFXZEPIEUX5 · pith_short_16: SJFXZEPIEUX5T4SL · pith_short_8: SJFXZEPI

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/SJFXZEPIEUX5T4SLKWZ3F2Y63U \
  | 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: 924b7c91e8252fd9f24b55b3b2eb1edd0642c673260860a15a52fbee811d9820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16bcf80817177e9e34d9477ee32d94fd7d0f413c1815bec4cf59006815a3408d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-22T16:46:16Z",
    "title_canon_sha256": "be95d4d8307cc13421d979e3f826dec8bea59359b52bdc5e2d771d221c059c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4868",
    "kind": "arxiv",
    "version": 1
  }
}