Pith Number

pith:HNW5KVSX

pith:2016:HNW5KVSXMT53OGIT25GRIGRX22

not attested not anchored not stored refs pending

Gysin functors and the Grothendieck-Witt category, Part I

Daniel Dugger

arxiv:1602.00748 v1 · 2016-02-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNW5KVSXMT53OGIT25GRIGRX22}

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	2026-05-18T01:21:24.748465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6dd5565764fbb71913d74d141a37d6a1b53093ae6d79ed117965f718b83e54

Aliases

arxiv: 1602.00748 · arxiv_version: 1602.00748v1 · doi: 10.48550/arxiv.1602.00748 · pith_short_12: HNW5KVSXMT53 · pith_short_16: HNW5KVSXMT53OGIT · pith_short_8: HNW5KVSX

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/HNW5KVSXMT53OGIT25GRIGRX22 \
  | 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: 3b6dd5565764fbb71913d74d141a37d6a1b53093ae6d79ed117965f718b83e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3655969b705e0f8448fd48d47c69788a74944164eeae601b4b37156ee2f13577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-02-01T23:55:03Z",
    "title_canon_sha256": "fae524a43fafea22824dea6c37e1bae07a4dc65823f47929e3719c5b47a7d986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00748",
    "kind": "arxiv",
    "version": 1
  }
}