Pith Number

pith:DJF45IXN

pith:2001:DJF45IXNHHJOERG4AZNKMITDBB

not attested not anchored not stored refs pending

(Semi)simple exercises in quantum cohomology

Arend Bayer, Yuri Manin

arxiv:math/0103164 v1 · 2001-03-26 · 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{DJF45IXNHHJOERG4AZNKMITDBB}

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	2026-05-18T03:58:26.907678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4bcea2ed39d2e244dc065aa6226308548905ac4bdf547d551a4195be2d5679

Aliases

arxiv: math/0103164 · arxiv_version: math/0103164v1 · doi: 10.48550/arxiv.math/0103164 · pith_short_12: DJF45IXNHHJO · pith_short_16: DJF45IXNHHJOERG4 · pith_short_8: DJF45IXN

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/DJF45IXNHHJOERG4AZNKMITDBB \
  | 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: 1a4bcea2ed39d2e244dc065aa6226308548905ac4bdf547d551a4195be2d5679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6765106067b433353a4d1a971598d2fe5d6ccc7f81c0c8231f45afbb270aa566",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-03-26T11:40:44Z",
    "title_canon_sha256": "9c772508b9a591e0e7e963e318ee838b7e320eae59d299b01221f16487764363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103164",
    "kind": "arxiv",
    "version": 1
  }
}