Pith Number

pith:JPTSIMFX

pith:2016:JPTSIMFXYP4G5FLWN2AKAX6SI3

not attested not anchored not stored refs pending

Whitney regularity and Thom condition for families of non-isolated mixed singularities

Christophe Eyral, Mutsuo Oka

arxiv:1607.03741 v1 · 2016-07-13 · 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{JPTSIMFXYP4G5FLWN2AKAX6SI3}

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	2026-05-18T01:11:05.818505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be72430b7c3f86e95766e80a05fd246e77dae3c48be36ed0c3b122adf1cf90f

Aliases

arxiv: 1607.03741 · arxiv_version: 1607.03741v1 · doi: 10.48550/arxiv.1607.03741 · pith_short_12: JPTSIMFXYP4G · pith_short_16: JPTSIMFXYP4G5FLW · pith_short_8: JPTSIMFX

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/JPTSIMFXYP4G5FLWN2AKAX6SI3 \
  | 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: 4be72430b7c3f86e95766e80a05fd246e77dae3c48be36ed0c3b122adf1cf90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4e2e10c09e807fc3317e052027efe5670662777b9024a85a1164af3007925d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-13T14:05:50Z",
    "title_canon_sha256": "e9becd8cfab096f551de75d9856bcd20d401ae442ba703e67fe13b839139f0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03741",
    "kind": "arxiv",
    "version": 1
  }
}