Pith Number

pith:ZPMZ6ECC

pith:2012:ZPMZ6ECCB63ZKBZPY6P45NO4UI

not attested not anchored not stored refs pending

Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow

Jeremy LeCrone

arxiv:1211.1930 v2 · 2012-11-08 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPMZ6ECCB63ZKBZPY6P45NO4UI}

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	2026-05-18T03:41:12.015251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd99f10420fb795072fc79fceb5dca2358328bd6c84dfd3501888a2f9ace2be

Aliases

arxiv: 1211.1930 · arxiv_version: 1211.1930v2 · doi: 10.48550/arxiv.1211.1930 · pith_short_12: ZPMZ6ECCB63Z · pith_short_16: ZPMZ6ECCB63ZKBZP · pith_short_8: ZPMZ6ECC

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/ZPMZ6ECCB63ZKBZPY6P45NO4UI \
  | 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: cbd99f10420fb795072fc79fceb5dca2358328bd6c84dfd3501888a2f9ace2be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a1810c3be976e3360cb8dc88c041a1477afb5581155d9bc436dca0abe78d5c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-08T18:16:46Z",
    "title_canon_sha256": "7ceead8ade5b30531e6a0cb29b86174541cf93d3f70bdd3a870de5def7f4757b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1930",
    "kind": "arxiv",
    "version": 2
  }
}