Pith Number

pith:VVUSJ7K5

pith:2018:VVUSJ7K5OEN6TQYN4CAU6P4JOD

not attested not anchored not stored refs pending

Affine Grassmannians in A^1-algebraic topology

Tom Bachmann

arxiv:1801.08471 v3 · 2018-01-25 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVUSJ7K5OEN6TQYN4CAU6P4JOD}

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	2026-05-17T23:50:34.244661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6924fd5d711be9c30de0814f3f8970e3994ca9684311896229d66ee09d553a

Aliases

arxiv: 1801.08471 · arxiv_version: 1801.08471v3 · doi: 10.48550/arxiv.1801.08471 · pith_short_12: VVUSJ7K5OEN6 · pith_short_16: VVUSJ7K5OEN6TQYN · pith_short_8: VVUSJ7K5

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/VVUSJ7K5OEN6TQYN4CAU6P4JOD \
  | 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: ad6924fd5d711be9c30de0814f3f8970e3994ca9684311896229d66ee09d553a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2403934e4411bee73fdb8ba9f0375220aa23e64221788c4168075b014a00b623",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-25T16:16:18Z",
    "title_canon_sha256": "61819d7e5b5d2314152b005103a8522c299dbb77cbe7cedd4f8545ad3b37a969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08471",
    "kind": "arxiv",
    "version": 3
  }
}