Pith Number

pith:S6EMOQCI

pith:2006:S6EMOQCITYCDONKKPZ75PNFKQV

not attested not anchored not stored refs pending

Universal coefficient theorem in triangulated categories

Maria Julia Redondo, Teimuraz Pirashvili

arxiv:math/0604412 v3 · 2006-04-19 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6EMOQCITYCDONKKPZ75PNFKQV}

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	2026-05-18T04:38:05.153243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9788c740489e0437354a7e7fd7b4aa855885cfd7769b44ed6f2690ca30e071da

Aliases

arxiv: math/0604412 · arxiv_version: math/0604412v3 · doi: 10.48550/arxiv.math/0604412 · pith_short_12: S6EMOQCITYCD · pith_short_16: S6EMOQCITYCDONKK · pith_short_8: S6EMOQCI

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/S6EMOQCITYCDONKKPZ75PNFKQV \
  | 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: 9788c740489e0437354a7e7fd7b4aa855885cfd7769b44ed6f2690ca30e071da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f00bc8f4e050e6104eee666a4308a270d8637898d4b938e799243489bf7f1c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2006-04-19T19:13:39Z",
    "title_canon_sha256": "e96f9b3229e17d23130b5bc0c393e125c7a9b2c5d178843ad9545b4e06f6e277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604412",
    "kind": "arxiv",
    "version": 3
  }
}