Pith Number

pith:VLNGXYF6

pith:2012:VLNGXYF6RS36L5KLK7ZQAYDNFY

not attested not anchored not stored refs pending

On the horizontal Mean Curvature Flow for Axisymmetric surfaces in the Heisenberg Group

Fausto Ferrari, Juan J. Manfredi, Qing Liu

arxiv:1210.1086 v1 · 2012-10-03 · 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{VLNGXYF6RS36L5KLK7ZQAYDNFY}

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	2026-05-18T03:17:46.879572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aada6be0be8cb7e5f54b57f300606d2e1513132309c5162fa32e23e45c542473

Aliases

arxiv: 1210.1086 · arxiv_version: 1210.1086v1 · doi: 10.48550/arxiv.1210.1086 · pith_short_12: VLNGXYF6RS36 · pith_short_16: VLNGXYF6RS36L5KL · pith_short_8: VLNGXYF6

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/VLNGXYF6RS36L5KLK7ZQAYDNFY \
  | 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: aada6be0be8cb7e5f54b57f300606d2e1513132309c5162fa32e23e45c542473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adcb8e7dc563ebb898480f7d8a5e9cdadf47263baaed6676af23122e9b8ca24f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-03T12:35:08Z",
    "title_canon_sha256": "f788a5766a640f285e8c8a5650a74b74feb35529c7225a1455b8e20049d8d6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1086",
    "kind": "arxiv",
    "version": 1
  }
}