Pith Number

pith:KGXW5VZ7

pith:2019:KGXW5VZ7NQP3UMZDPBW3RKPVBB

not attested not anchored not stored refs pending

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

Natasa Sesum, Panagiota Daskalopoulos, Sigurd Angenent

arxiv:1906.11967 v1 · 2019-06-27 · 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{KGXW5VZ7NQP3UMZDPBW3RKPVBB}

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	2026-05-17T23:41:59.658819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51af6ed73f6c1fba3323786db8a9f50844978fe95b56efbbe087433d791b0d3b

Aliases

arxiv: 1906.11967 · arxiv_version: 1906.11967v1 · doi: 10.48550/arxiv.1906.11967 · pith_short_12: KGXW5VZ7NQP3 · pith_short_16: KGXW5VZ7NQP3UMZD · pith_short_8: KGXW5VZ7

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/KGXW5VZ7NQP3UMZDPBW3RKPVBB \
  | 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: 51af6ed73f6c1fba3323786db8a9f50844978fe95b56efbbe087433d791b0d3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d28c8da97153c99c6a109a5ef2252b36701994474cb95642fe1af7cf30b1835b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-27T21:15:12Z",
    "title_canon_sha256": "8caa62e42b91ffd66b945f7d820f5b54af626628b42d60d7f7bbce9b7ffe75ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11967",
    "kind": "arxiv",
    "version": 1
  }
}