Pith Number

pith:7Q7TFUK7

pith:2014:7Q7TFUK7TN22GHCK2WLMB566NQ

not attested not anchored not stored refs pending

Counting points on curves using a map to P^1, II

Jan Tuitman

arxiv:1412.7217 v2 · 2014-12-23 · math.NT · 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{7Q7TFUK7TN22GHCK2WLMB566NQ}

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	2026-05-18T01:04:09.549541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3f32d15f9b75a31c4ad596c0f7de6c20fff7e3a4948b288600b8e7a25199ee

Aliases

arxiv: 1412.7217 · arxiv_version: 1412.7217v2 · doi: 10.48550/arxiv.1412.7217 · pith_short_12: 7Q7TFUK7TN22 · pith_short_16: 7Q7TFUK7TN22GHCK · pith_short_8: 7Q7TFUK7

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/7Q7TFUK7TN22GHCK2WLMB566NQ \
  | 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: fc3f32d15f9b75a31c4ad596c0f7de6c20fff7e3a4948b288600b8e7a25199ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d6f58ceafe5a3b2d824896ccb19e09cf9b5d8271bfb1c357a1a39a9ad7e395",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-23T00:03:20Z",
    "title_canon_sha256": "cfc0ba64beea0afcfb474e5e4b803f0429c78b9daee1f6e9d383f5678ee40df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7217",
    "kind": "arxiv",
    "version": 2
  }
}