Pith Number

pith:AFNRNMZI

pith:2012:AFNRNMZIOPKOQ3WLP25Z3AWYSL

not attested not anchored not stored refs pending

Uniqueness of Lagrangian Self-Expanders

Andr\'e Neves, Jason D. Lotay

arxiv:1208.2729 v1 · 2012-08-14 · math.DG · math.AP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFNRNMZIOPKOQ3WLP25Z3AWYSL}

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	2026-05-18T02:38:17.680482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

015b16b32873d4e86ecb7ebb9d82d892d028e79ca7e6c818335b5a6213f62a2d

Aliases

arxiv: 1208.2729 · arxiv_version: 1208.2729v1 · doi: 10.48550/arxiv.1208.2729 · pith_short_12: AFNRNMZIOPKO · pith_short_16: AFNRNMZIOPKOQ3WL · pith_short_8: AFNRNMZI

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/AFNRNMZIOPKOQ3WLP25Z3AWYSL \
  | 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: 015b16b32873d4e86ecb7ebb9d82d892d028e79ca7e6c818335b5a6213f62a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592500bfe65e3d28594bb44c12b4a125eddb14483c6a8d6c9904cb65d0f027bd",
    "cross_cats_sorted": [
      "math.AP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-14T00:04:32Z",
    "title_canon_sha256": "ed10e2ae845463722d387881578cf2c6cd4dbad6d2ffc1f26eea7e0b83912432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2729",
    "kind": "arxiv",
    "version": 1
  }
}