Pith Number

pith:T4R2LBLO

pith:2009:T4R2LBLO3LKVRSJQYBFQ2DZRLH

not attested not anchored not stored refs pending

On the entire self-shrinking solutions to Lagrangian mean curvature flow

Rongli Huang, Zhizhang Wang

arxiv:0911.2849 v7 · 2009-11-15 · math.AP · 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{T4R2LBLO3LKVRSJQYBFQ2DZRLH}

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	2026-05-18T04:00:02.911578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f23a5856edad558c930c04b0d0f3159c05c0b868fa22514583c31063cca76cd

Aliases

arxiv: 0911.2849 · arxiv_version: 0911.2849v7 · doi: 10.48550/arxiv.0911.2849 · pith_short_12: T4R2LBLO3LKV · pith_short_16: T4R2LBLO3LKVRSJQ · pith_short_8: T4R2LBLO

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/T4R2LBLO3LKVRSJQYBFQ2DZRLH \
  | 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: 9f23a5856edad558c930c04b0d0f3159c05c0b868fa22514583c31063cca76cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1db0e1e194fdde21539f257869df1f7b268d932c008fbea1d97d95e69fab1b9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-11-15T10:52:14Z",
    "title_canon_sha256": "6a86ffb036ce3ee0d0f96f3eca50dc547c20504cacf4cb0eedae246397527686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2849",
    "kind": "arxiv",
    "version": 7
  }
}