Pith Number

pith:ZF5ZI3RC

pith:2007:ZF5ZI3RC6GWU4654OS5GZVMKEY

not attested not anchored not stored refs pending

The u-invariant of the function fields of p-adic curves

R. Parimala, V. Suresh

arxiv:0708.3128 v1 · 2007-08-23 · 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{ZF5ZI3RC6GWU4654OS5GZVMKEY}

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	2026-05-18T04:04:55.347735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97b946e22f1ad4e7bbc74ba6cd58a2615b44fa78d41763b6ddcc460d46491d1

Aliases

arxiv: 0708.3128 · arxiv_version: 0708.3128v1 · doi: 10.48550/arxiv.0708.3128 · pith_short_12: ZF5ZI3RC6GWU · pith_short_16: ZF5ZI3RC6GWU4654 · pith_short_8: ZF5ZI3RC

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/ZF5ZI3RC6GWU4654OS5GZVMKEY \
  | 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: c97b946e22f1ad4e7bbc74ba6cd58a2615b44fa78d41763b6ddcc460d46491d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd56ccfd8d77fcdd5879fc2b2e48be6a35db7cf828f7ed5ef54b0c4b1aeb01b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-08-23T05:59:29Z",
    "title_canon_sha256": "5a07f88af470fb83ce574678810ae2da31f8b24d6078ee8b955a2ad1776f0a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3128",
    "kind": "arxiv",
    "version": 1
  }
}