Pith Number

pith:VSPFVYQM

pith:2009:VSPFVYQMHDBSTELHCHW7VQ7XMA

not attested not anchored not stored refs pending

Derived functors of non-additive functors and homotopy theory

Lawrence Breen, Roman Mikhailov

arxiv:0910.2817 v2 · 2009-10-15 · 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{VSPFVYQMHDBSTELHCHW7VQ7XMA}

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	2026-05-18T02:41:51.110255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9e5ae20c38c329916711edfac3f7603ac7949ee7717d7614c5e8381b755573

Aliases

arxiv: 0910.2817 · arxiv_version: 0910.2817v2 · doi: 10.48550/arxiv.0910.2817 · pith_short_12: VSPFVYQMHDBS · pith_short_16: VSPFVYQMHDBSTELH · pith_short_8: VSPFVYQM

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/VSPFVYQMHDBSTELHCHW7VQ7XMA \
  | 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: ac9e5ae20c38c329916711edfac3f7603ac7949ee7717d7614c5e8381b755573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae9294bb79aaed45969bc65930dca45ffef3a8f8a8009444b6ec1601f2865a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-10-15T16:43:07Z",
    "title_canon_sha256": "09f6710a445a1f1a7ff322adc1f623b0268c6d26d2ebcb5c0f7c7d4976643ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2817",
    "kind": "arxiv",
    "version": 2
  }
}