Pith Number

pith:GYHTYOOH

pith:2012:GYHTYOOHFTWQVN4WANFH2TZTRD

not attested not anchored not stored refs pending

The Maslov cycle as a Legendre singularity and projection of a wavefront set

Alan Weinstein

arxiv:1207.0408 v1 · 2012-07-02 · 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{GYHTYOOHFTWQVN4WANFH2TZTRD}

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	2026-05-18T03:51:59.371851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360f3c39c72ced0ab796034a7d4f3388fc0feccc9a895911b3fac4548a7cd8c2

Aliases

arxiv: 1207.0408 · arxiv_version: 1207.0408v1 · doi: 10.48550/arxiv.1207.0408 · pith_short_12: GYHTYOOHFTWQ · pith_short_16: GYHTYOOHFTWQVN4W · pith_short_8: GYHTYOOH

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/GYHTYOOHFTWQVN4WANFH2TZTRD \
  | 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: 360f3c39c72ced0ab796034a7d4f3388fc0feccc9a895911b3fac4548a7cd8c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc58b4b055920c64ac1a2c5fe6e081f424b44493d7c42e940d62b08373a0eca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-07-02T14:39:37Z",
    "title_canon_sha256": "f673e611b460d5ba534d8b26c67860b01c2fab9479e04e0e0658db067769c105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0408",
    "kind": "arxiv",
    "version": 1
  }
}