Pith Number

pith:7GM5V6CF

pith:2017:7GM5V6CFOFT7ZQ2UMA3TGWJ342

not attested not anchored not stored refs pending

Differential Forms, Linked Fields and the $u$-Invariant

Adam Chapman, Andrew Dolphin

arxiv:1701.01367 v2 · 2017-01-05 · math.RA · 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{7GM5V6CFOFT7ZQ2UMA3TGWJ342}

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	2026-05-18T00:44:09.089486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f999daf8457167fcc354603733593be6b8d61e55413803b86336937c2c69bdb5

Aliases

arxiv: 1701.01367 · arxiv_version: 1701.01367v2 · doi: 10.48550/arxiv.1701.01367 · pith_short_12: 7GM5V6CFOFT7 · pith_short_16: 7GM5V6CFOFT7ZQ2U · pith_short_8: 7GM5V6CF

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/7GM5V6CFOFT7ZQ2UMA3TGWJ342 \
  | 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: f999daf8457167fcc354603733593be6b8d61e55413803b86336937c2c69bdb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bcb9818db53f9236ce5deae5d8ed900144b0d57408ea35a2f436ba0fa3f5f3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-01-05T16:21:01Z",
    "title_canon_sha256": "1f1b47e46b6d49828f1edf46c64f88acfb31e1dc34bea347a524761aee0d2f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01367",
    "kind": "arxiv",
    "version": 2
  }
}