Pith Number

pith:MR73LRAA

pith:2010:MR73LRAASKFZFUOB7CY7RBOW4H

not attested not anchored not stored refs pending

On the derived DG functors

Vadim Vologodsky

arxiv:1004.1918 v2 · 2010-04-12 · 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{MR73LRAASKFZFUOB7CY7RBOW4H}

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	2026-05-18T04:32:01.763003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647fb5c400928b92d1c1f8b1f885d6e1d84c5b4df83c172cc3cff4360a894d30

Aliases

arxiv: 1004.1918 · arxiv_version: 1004.1918v2 · doi: 10.48550/arxiv.1004.1918 · pith_short_12: MR73LRAASKFZ · pith_short_16: MR73LRAASKFZFUOB · pith_short_8: MR73LRAA

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/MR73LRAASKFZFUOB7CY7RBOW4H \
  | 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: 647fb5c400928b92d1c1f8b1f885d6e1d84c5b4df83c172cc3cff4360a894d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0f2a534ba7e30824df048730a0f29be31c823e88f4cbfdbd8e256bd2d38b39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-04-12T10:30:29Z",
    "title_canon_sha256": "c1814a43d98be9741327d762c7260fbdd3e0a4d55fb3eac1196b707bcbe2fa19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1918",
    "kind": "arxiv",
    "version": 2
  }
}