Pith Number

pith:GLTHQJXZ

pith:2006:GLTHQJXZ4V5RGLMXSQGE5D24R5

not attested not anchored not stored refs pending

A Quillen Approach to Derived Categories and Tensor Products

James Gillespie

arxiv:math/0607769 v1 · 2006-07-29 · 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{GLTHQJXZ4V5RGLMXSQGE5D24R5}

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	2026-07-04T14:56:03.383512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32e67826f9e57b132d97940c4e8f5c8f5a941b943e3a6b0ab76eb0062b679484

Aliases

arxiv: math/0607769 · arxiv_version: math/0607769v1 · doi: 10.48550/arxiv.math/0607769 · pith_short_12: GLTHQJXZ4V5R · pith_short_16: GLTHQJXZ4V5RGLMX · pith_short_8: GLTHQJXZ

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/GLTHQJXZ4V5RGLMXSQGE5D24R5 \
  | 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: 32e67826f9e57b132d97940c4e8f5c8f5a941b943e3a6b0ab76eb0062b679484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d59c65cfc98b2776947389c7b742ab0d913adfaea854405175b312a544fb95",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-07-29T19:22:16Z",
    "title_canon_sha256": "3b44fa0173d6d3e406e0d9c8269cc6353978a9169ba0de05bca6737d83cb969b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607769",
    "kind": "arxiv",
    "version": 1
  }
}