Pith Number

pith:V32PJ2L4

pith:2010:V32PJ2L4TJSOJUTXT3JAVZ6LZ3

not attested not anchored not stored refs pending

Positivity of Legendrian Thom polynomials

Andrzej Weber, Malgorzata Mikosz, Piotr Pragacz

arxiv:1005.1283 v3 · 2010-05-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V32PJ2L4TJSOJUTXT3JAVZ6LZ3}

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	2026-05-18T04:06:55.196306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef4f4e97c9a64e4d2779ed20ae7cbcefc86d087e40c242d25b6696ce125bc3f

Aliases

arxiv: 1005.1283 · arxiv_version: 1005.1283v3 · doi: 10.48550/arxiv.1005.1283 · pith_short_12: V32PJ2L4TJSO · pith_short_16: V32PJ2L4TJSOJUTX · pith_short_8: V32PJ2L4

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/V32PJ2L4TJSOJUTXT3JAVZ6LZ3 \
  | 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: aef4f4e97c9a64e4d2779ed20ae7cbcefc86d087e40c242d25b6696ce125bc3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "309a387b3c0b82c7ff185ba9d93e000e14d8e7971ee2f0e928432c922cf90975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-07T19:49:09Z",
    "title_canon_sha256": "d4fb8dc95dbc334b40639be0320c84ac031139feedef7a18de5494d5a9acfafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1283",
    "kind": "arxiv",
    "version": 3
  }
}