Pith Number

pith:7F3Q6IPT

pith:2018:7F3Q6IPTOJJQI3UG34VRW5YQ67

not attested not anchored not stored refs pending

Relative rigid objects in triangulated categories

Changjian Fu, Pin Liu, Shengfei Geng

arxiv:1808.04297 v2 · 2018-08-13 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F3Q6IPTOJJQI3UG34VRW5YQ67}

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	2026-05-17T23:58:13.895395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9770f21f37253046e86df2b1b7710f7f5f6b5e89764ecf56b1769f5b685ab98

Aliases

arxiv: 1808.04297 · arxiv_version: 1808.04297v2 · doi: 10.48550/arxiv.1808.04297 · pith_short_12: 7F3Q6IPTOJJQ · pith_short_16: 7F3Q6IPTOJJQI3UG · pith_short_8: 7F3Q6IPT

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/7F3Q6IPTOJJQI3UG34VRW5YQ67 \
  | 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: f9770f21f37253046e86df2b1b7710f7f5f6b5e89764ecf56b1769f5b685ab98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f44f726bc735c2e3a70f0b528c2e7dbb77fa343de5066ce594ede3071a4d51f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-13T15:46:20Z",
    "title_canon_sha256": "6b325193be2b1985a2d1c1dc03d2fd1b8d42887dabe952077e8bc2e5b3258043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04297",
    "kind": "arxiv",
    "version": 2
  }
}