Pith Number

pith:FCM3Q6CJ

pith:2017:FCM3Q6CJVBPR3CO2M77P5JY7LY

not attested not anchored not stored refs pending

The differential rank of a differential-valued field

Gabriel Leh\'ericy, Salma Kuhlmann

arxiv:1707.09493 v3 · 2017-07-29 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCM3Q6CJVBPR3CO2M77P5JY7LY}

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	2026-05-18T00:02:22.561453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2899b87849a85f1d89da67fefea71f5e1bc33458eda19ae6d0cc1beba2b592ba

Aliases

arxiv: 1707.09493 · arxiv_version: 1707.09493v3 · doi: 10.48550/arxiv.1707.09493 · pith_short_12: FCM3Q6CJVBPR · pith_short_16: FCM3Q6CJVBPR3CO2 · pith_short_8: FCM3Q6CJ

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/FCM3Q6CJVBPR3CO2M77P5JY7LY \
  | 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: 2899b87849a85f1d89da67fefea71f5e1bc33458eda19ae6d0cc1beba2b592ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666caa4fcd95f28db064ba42db4c14560a3e240f262a16efcb3d518fbc6672fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-29T10:48:22Z",
    "title_canon_sha256": "5effb8d942894d05af488576edf7c7d54ceed9b050fcd86d5e60c8588377242b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09493",
    "kind": "arxiv",
    "version": 3
  }
}