Pith Number

pith:ANA4EKH2

pith:2019:ANA4EKH2BB4XEAA4MGGJNZ5RVX

not attested not anchored not stored refs pending

Rotational symmetry of ancient solutions to the Ricci flow in dimension $3$ -- The compact case

S. Brendle

arxiv:1904.07835 v1 · 2019-04-16 · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANA4EKH2BB4XEAA4MGGJNZ5RVX}

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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.

Cited by

1 paper in Pith

Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow

Receipt and verification

First computed	2026-05-17T23:48:24.107066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0341c228fa087972001c618c96e7b1ade065023a694e7ecc40d24a003932edce

Aliases

arxiv: 1904.07835 · arxiv_version: 1904.07835v1 · doi: 10.48550/arxiv.1904.07835 · pith_short_12: ANA4EKH2BB4X · pith_short_16: ANA4EKH2BB4XEAA4 · pith_short_8: ANA4EKH2

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/ANA4EKH2BB4XEAA4MGGJNZ5RVX \
  | 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: 0341c228fa087972001c618c96e7b1ade065023a694e7ecc40d24a003932edce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50164910e7908b06b5db31e4c02e92c47d259cc101091fb0f1c61a6ad40a303b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-16T17:27:19Z",
    "title_canon_sha256": "624594e258a6cd2540edbffaca588c1c6568d24d5c3d21522e7a40acaa9d5bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07835",
    "kind": "arxiv",
    "version": 1
  }
}