Pith Number

pith:7AX7E63D

pith:2016:7AX7E63DBIKZ322CZHRB4KCFFB

not attested not anchored not stored refs pending

Symplectic singularity of curves with semigroups (4,5,6,7), (4,5,6) and (4,5,7)

Fausto Assun\c{c}\~ao de Brito Lira, Roberta Wik Atique, Wojciech Domitrz

arxiv:1603.02319 v1 · 2016-02-29 · 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{7AX7E63DBIKZ322CZHRB4KCFFB}

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	2026-05-18T01:19:23.723851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f82ff27b630a159deb42c9e21e28452872c812f060f320cd51ae1539f2c0a787

Aliases

arxiv: 1603.02319 · arxiv_version: 1603.02319v1 · doi: 10.48550/arxiv.1603.02319 · pith_short_12: 7AX7E63DBIKZ · pith_short_16: 7AX7E63DBIKZ322C · pith_short_8: 7AX7E63D

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/7AX7E63DBIKZ322CZHRB4KCFFB \
  | 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: f82ff27b630a159deb42c9e21e28452872c812f060f320cd51ae1539f2c0a787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d53417060874391433f962881fe47f4dfcf2aff2620ed02556a6bea2ec201b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-29T19:11:47Z",
    "title_canon_sha256": "e87f107521d02e7b4d0f1c239226767baf1afb70ad14cc52b53cb55dc319cb2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02319",
    "kind": "arxiv",
    "version": 1
  }
}