Pith Number

pith:TXPD54YB

pith:2018:TXPD54YBBP4QU2EHS5UU73OEEW

not attested not anchored not stored refs pending

Exponential-constructible functions in $P$-minimal structures

Eva Leenknegt, Pablo Cubides Kovacsics, Saskia Chambille

arxiv:1802.08508 v1 · 2018-02-23 · math.LO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXPD54YBBP4QU2EHS5UU73OEEW}

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	2026-05-18T00:22:41.387160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dde3ef3010bf90a688797694fedc425a697b938f1887a347812992d0c7b0b6a

Aliases

arxiv: 1802.08508 · arxiv_version: 1802.08508v1 · doi: 10.48550/arxiv.1802.08508 · pith_short_12: TXPD54YBBP4Q · pith_short_16: TXPD54YBBP4QU2EH · pith_short_8: TXPD54YB

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/TXPD54YBBP4QU2EHS5UU73OEEW \
  | 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: 9dde3ef3010bf90a688797694fedc425a697b938f1887a347812992d0c7b0b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6da3be0a22432263f4fc479372e851274907b95f38701e088c1ff495e75b349",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-02-23T12:53:36Z",
    "title_canon_sha256": "28aa6c7abd016a23f1a008b21b24993f851ffc7eb41fdd01ea3a9771f57e9f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08508",
    "kind": "arxiv",
    "version": 1
  }
}