Pith Number

pith:2NZ6UMHH

pith:1997:2NZ6UMHHX3CGZODTF7PACUZVWX

not attested not anchored not stored refs pending

Gras-Type Conjectures for Function Fields

Cristian D. Popescu

arxiv:math/9701209 v1 · 1997-01-06 · 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{2NZ6UMHHX3CGZODTF7PACUZVWX}

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	2026-05-18T01:05:37.299463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d373ea30e7bec46cb8732fde015335b5e52f5bcf40d190233ee2804eb655780a

Aliases

arxiv: math/9701209 · arxiv_version: math/9701209v1 · doi: 10.48550/arxiv.math/9701209 · pith_short_12: 2NZ6UMHHX3CG · pith_short_16: 2NZ6UMHHX3CGZODT · pith_short_8: 2NZ6UMHH

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/2NZ6UMHHX3CGZODTF7PACUZVWX \
  | 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: d373ea30e7bec46cb8732fde015335b5e52f5bcf40d190233ee2804eb655780a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "006910cc7758c093a1e03d6727398c2dd755bdc398ceab17b3d6e76539e83c80",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1997-01-06T00:00:00Z",
    "title_canon_sha256": "690631717e2c768633b321a202d7893d00391e64551bab8a4289cfbb782d2225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9701209",
    "kind": "arxiv",
    "version": 1
  }
}