Pith Number

pith:PB6M3S5E

pith:2018:PB6M3S5EF3EEYJX5CWUPBZX2EX

not attested not anchored not stored refs pending

The variation of the Gysin kernel in a family

Kalyan Banerjee

arxiv:1806.02116 v1 · 2018-06-06 · 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{PB6M3S5EF3EEYJX5CWUPBZX2EX}

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	2026-05-18T00:14:02.617586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787ccdcba42ec84c26fd15a8f0e6fa25df4343aaf2fa9e64fda8d03bdd35833f

Aliases

arxiv: 1806.02116 · arxiv_version: 1806.02116v1 · doi: 10.48550/arxiv.1806.02116 · pith_short_12: PB6M3S5EF3EE · pith_short_16: PB6M3S5EF3EEYJX5 · pith_short_8: PB6M3S5E

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/PB6M3S5EF3EEYJX5CWUPBZX2EX \
  | 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: 787ccdcba42ec84c26fd15a8f0e6fa25df4343aaf2fa9e64fda8d03bdd35833f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409919ff8c817c13d22f3427803d46d13ba14ad5455f3c4ed9463e1ded36058a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-06T11:04:58Z",
    "title_canon_sha256": "78cb55603a1674d9b942d6d4c62441dbd1f198b828fff05fb97d2a3cd9f94f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02116",
    "kind": "arxiv",
    "version": 1
  }
}