Pith Number

pith:JTIEF4IX

pith:2020:JTIEF4IXPG3BMQOGEHFPASNAZ5

not attested not anchored not stored refs pending

Singularity formation of complete Ricci flow solutions

Dan Knopf, James Isenberg, Natasa Sesum, Timothy Carson

arxiv:2001.06098 v1 · 2020-01-16 · 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{JTIEF4IXPG3BMQOGEHFPASNAZ5}

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	2026-07-05T00:34:06.725684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd042f11779b61641c621caf049a0cf4ba31f4c64598ff87373f7aa632568c6

Aliases

arxiv: 2001.06098 · arxiv_version: 2001.06098v1 · doi: 10.48550/arxiv.2001.06098 · pith_short_12: JTIEF4IXPG3B · pith_short_16: JTIEF4IXPG3BMQOG · pith_short_8: JTIEF4IX

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/JTIEF4IXPG3BMQOGEHFPASNAZ5 \
  | 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: 4cd042f11779b61641c621caf049a0cf4ba31f4c64598ff87373f7aa632568c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a602d12b209a00473e652487de49cbcca709820019570cb5bf92ead90b8e8906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-01-16T22:12:34Z",
    "title_canon_sha256": "4ab74126b8a309d3bcd2961354e0e333df49c2c8bae59dc0e7d4db299ee7254c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06098",
    "kind": "arxiv",
    "version": 1
  }
}