Pith Number

pith:MMRGDILJ

pith:2011:MMRGDILJ2VHJAPQ6VMVMODK7ZF

not attested not anchored not stored refs pending

Ricci flow of homogeneous manifolds

Jorge Lauret

arxiv:1112.5900 v2 · 2011-12-26 · 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{MMRGDILJ2VHJAPQ6VMVMODK7ZF}

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	2026-05-18T04:01:01.506165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632261a169d54e903e1eab2ac70d5fc964c0bb57b8f280ca9bc40049fad5a019

Aliases

arxiv: 1112.5900 · arxiv_version: 1112.5900v2 · doi: 10.48550/arxiv.1112.5900 · pith_short_12: MMRGDILJ2VHJ · pith_short_16: MMRGDILJ2VHJAPQ6 · pith_short_8: MMRGDILJ

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/MMRGDILJ2VHJAPQ6VMVMODK7ZF \
  | 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: 632261a169d54e903e1eab2ac70d5fc964c0bb57b8f280ca9bc40049fad5a019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a048eeaab8cba88d980693aeb225b2c7f36de000654238b66717954a1c1ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-26T23:11:32Z",
    "title_canon_sha256": "0ddb60e527b02713da5eeef52f0d5e06406d9d25a5d77fcb776a9ada0cddc40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5900",
    "kind": "arxiv",
    "version": 2
  }
}