Pith Number

pith:C4NHQXGO

pith:2014:C4NHQXGOKET4WLHAWKBGGALZZJ

not attested not anchored not stored refs pending

Mean curvature flow in submanifolds

Hiroshi Nakahara

arxiv:1401.3401 v3 · 2014-01-15 · 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{C4NHQXGOKET4WLHAWKBGGALZZJ}

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	2026-05-18T02:25:26.633484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171a785cce5127cb2ce0b282630179ca43023e99e8f4a6d61986bd4f655b1ea1

Aliases

arxiv: 1401.3401 · arxiv_version: 1401.3401v3 · doi: 10.48550/arxiv.1401.3401 · pith_short_12: C4NHQXGOKET4 · pith_short_16: C4NHQXGOKET4WLHA · pith_short_8: C4NHQXGO

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/C4NHQXGOKET4WLHAWKBGGALZZJ \
  | 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: 171a785cce5127cb2ce0b282630179ca43023e99e8f4a6d61986bd4f655b1ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b889e9d143044e680e551eda6e180e2159ca08fc88fa641c69e0fb431cfc05e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-15T01:32:25Z",
    "title_canon_sha256": "a64a21945b18224cdf4790e09ec94bb32a50cad71fc6da42941984daf4b14d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3401",
    "kind": "arxiv",
    "version": 3
  }
}