Pith Number

pith:KZQXVH3P

pith:2018:KZQXVH3P4T2U3KJ3KEHKVCOKM4

not attested not anchored not stored refs pending

On the set of local extrema of a subanalytic function

Jos\'e F. Fernando

arxiv:1803.06017 v1 · 2018-03-15 · 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{KZQXVH3P4T2U3KJ3KEHKVCOKM4}

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	2026-05-18T00:20:51.024606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56617a9f6fe4f54da93b510eaa89ca67385054f887398b9d90d2d5332ea7ea82

Aliases

arxiv: 1803.06017 · arxiv_version: 1803.06017v1 · doi: 10.48550/arxiv.1803.06017 · pith_short_12: KZQXVH3P4T2U · pith_short_16: KZQXVH3P4T2U3KJ3 · pith_short_8: KZQXVH3P

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/KZQXVH3P4T2U3KJ3KEHKVCOKM4 \
  | 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: 56617a9f6fe4f54da93b510eaa89ca67385054f887398b9d90d2d5332ea7ea82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b34fcdea9458f66924700881cdbcfd5d514544b92626b64d61b2f10d6073c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-15T22:03:51Z",
    "title_canon_sha256": "d5bfe1288027aeaeec40f953880f1194c0238120274d00b624313d2f3673eed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06017",
    "kind": "arxiv",
    "version": 1
  }
}