Pith Number

pith:W4HGBLR2

pith:2011:W4HGBLR23MUURS3H2NEJ5ERJTR

not attested not anchored not stored refs pending

An Elementary Remark on a Lower bound for the $\mu$-Invariant of Singularity Models for Ricci Flow

Bennett Chow

arxiv:1104.3276 v1 · 2011-04-17 · 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{W4HGBLR23MUURS3H2NEJ5ERJTR}

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	2026-05-18T04:24:05.392069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70e60ae3adb2948cb67d3489e92299c4c7b7902f8cff095b8a63457cf847e22

Aliases

arxiv: 1104.3276 · arxiv_version: 1104.3276v1 · doi: 10.48550/arxiv.1104.3276 · pith_short_12: W4HGBLR23MUU · pith_short_16: W4HGBLR23MUURS3H · pith_short_8: W4HGBLR2

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/W4HGBLR23MUURS3H2NEJ5ERJTR \
  | 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: b70e60ae3adb2948cb67d3489e92299c4c7b7902f8cff095b8a63457cf847e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb8699658e0566c7bcec7a9127b0620d4f6ffdd539ce0d207a0ce0d8623ea1f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-17T04:09:34Z",
    "title_canon_sha256": "f887d8dce1832604cdc558cc9dcdbc20f605423c4a34b9829b16c760a2805879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3276",
    "kind": "arxiv",
    "version": 1
  }
}