Pith Number

pith:WDDO6YXS

pith:2012:WDDO6YXSXQGSYPYKVI5F5QA3XS

not attested not anchored not stored refs pending

A normal form around a Lagrangian submanifold of radial points

Nick Haber

arxiv:1210.1275 v1 · 2012-10-04 · 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{WDDO6YXSXQGSYPYKVI5F5QA3XS}

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	2026-05-18T03:44:04.943147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c6ef62f2bc0d2c3f0aaa3a5ec01bbcbcc6a56e6c105be2e6402c0f9747564d

Aliases

arxiv: 1210.1275 · arxiv_version: 1210.1275v1 · doi: 10.48550/arxiv.1210.1275 · pith_short_12: WDDO6YXSXQGS · pith_short_16: WDDO6YXSXQGSYPYK · pith_short_8: WDDO6YXS

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/WDDO6YXSXQGSYPYKVI5F5QA3XS \
  | 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: b0c6ef62f2bc0d2c3f0aaa3a5ec01bbcbcc6a56e6c105be2e6402c0f9747564d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2a2ea14410b61e0471323090bf6a3e96f62292c90899bd9848b677d6b829e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-04T01:38:12Z",
    "title_canon_sha256": "86b899ec7bc29980ecd381f84a4f0eceefac9366676f4c1cbd823b02b358f63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1275",
    "kind": "arxiv",
    "version": 1
  }
}