Pith Number

pith:SB5FAIZG

pith:2019:SB5FAIZGRPSHRTFEEEOF6CRCSI

not attested not anchored not stored refs pending

Curvature growth of some 4-dimensional gradient Ricci soliton singularity models

Bennett Chow, Henry Shin, Michael Freedman, Yongjia Zhang

arxiv:1903.09181 v2 · 2019-03-21 · math.DG · math.AT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SB5FAIZGRPSHRTFEEEOF6CRCSI}

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	2026-07-05T02:26:45.239615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907a5023268be478cca4211c5f0a22921f732c4497519f79a8cef2430a3b96ba

Aliases

arxiv: 1903.09181 · arxiv_version: 1903.09181v2 · doi: 10.48550/arxiv.1903.09181 · pith_short_12: SB5FAIZGRPSH · pith_short_16: SB5FAIZGRPSHRTFE · pith_short_8: SB5FAIZG

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/SB5FAIZGRPSHRTFEEEOF6CRCSI \
  | 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: 907a5023268be478cca4211c5f0a22921f732c4497519f79a8cef2430a3b96ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a35538c311ac87994df8e72b9c74f717848826125fb46190482fa879e83ad1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-21T18:31:09Z",
    "title_canon_sha256": "ac3a384659e0e8863516ff62dd3b726bfe26b09bae99ab513725c40045524495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09181",
    "kind": "arxiv",
    "version": 2
  }
}