Pith Number

pith:KS4LHJZ2

pith:2024:KS4LHJZ2WXGEYPBGJTHKZQIZHR

not attested not anchored not stored refs pending

Universal polynomials for multi-singularity loci of maps

Toru Ohmoto

arxiv:2406.12166 v1 · 2024-06-18 · 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{KS4LHJZ2WXGEYPBGJTHKZQIZHR}

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	2026-07-05T08:33:07.341135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b8b3a73ab5cc4c3c264cceacc1193c4ed9a71611ee9dc301b808693202cc82

Aliases

arxiv: 2406.12166 · arxiv_version: 2406.12166v1 · doi: 10.48550/arxiv.2406.12166 · pith_short_12: KS4LHJZ2WXGE · pith_short_16: KS4LHJZ2WXGEYPBG · pith_short_8: KS4LHJZ2

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/KS4LHJZ2WXGEYPBGJTHKZQIZHR \
  | 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: 54b8b3a73ab5cc4c3c264cceacc1193c4ed9a71611ee9dc301b808693202cc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3504f325f4537024a30cf79bcef6bea5d1d5f8c95173120deea00acc15b5ce91",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-18T00:36:12Z",
    "title_canon_sha256": "e547a0c65dc16803b8730a93e8646e47315885d5eef854c6479384d6fe948412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.12166",
    "kind": "arxiv",
    "version": 1
  }
}