Pith Number

pith:4C3O6W4E

pith:2011:4C3O6W4EKJ6U3ZK35INDOD4D24

not attested not anchored not stored refs pending

Mean curvature flow in higher codimension - Introduction and survey

Knut Smoczyk

arxiv:1104.3222 v2 · 2011-04-16 · 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{4C3O6W4EKJ6U3ZK35INDOD4D24}

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	2026-05-18T04:23:12.774031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b6ef5b84527d4de55bea1a370f83d738afc7443acc7464a046f5ef1050ba76

Aliases

arxiv: 1104.3222 · arxiv_version: 1104.3222v2 · doi: 10.48550/arxiv.1104.3222 · pith_short_12: 4C3O6W4EKJ6U · pith_short_16: 4C3O6W4EKJ6U3ZK3 · pith_short_8: 4C3O6W4E

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/4C3O6W4EKJ6U3ZK35INDOD4D24 \
  | 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: e0b6ef5b84527d4de55bea1a370f83d738afc7443acc7464a046f5ef1050ba76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "253cbe29fb4fadc51ef751f8f0ebabd8add675494c03b2d8150510cd5de5cf49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-16T09:34:18Z",
    "title_canon_sha256": "414f8311d0c7d4f3077bff77cd86173447ab2a335a67d0a2457bf60f710c2378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3222",
    "kind": "arxiv",
    "version": 2
  }
}