Pith Number

pith:LLN467AX

pith:2016:LLN467AXVN3RY5TAKXSIHRHZE2

not attested not anchored not stored refs pending

Symmetry of the Definition of Degeneration in Triangulated Categories

Alexander Zimmermann (LAMFA), Manuel Saor\'in

arxiv:1612.05771 v2 · 2016-12-17 · math.RT · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLN467AXVN3RY5TAKXSIHRHZE2}

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	2026-05-18T00:54:10.304043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5adbcf7c17ab771c766055e483c4f9269b5f491939c113cb23f841c6cb81c933

Aliases

arxiv: 1612.05771 · arxiv_version: 1612.05771v2 · doi: 10.48550/arxiv.1612.05771 · pith_short_12: LLN467AXVN3R · pith_short_16: LLN467AXVN3RY5TA · pith_short_8: LLN467AX

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/LLN467AXVN3RY5TAKXSIHRHZE2 \
  | 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: 5adbcf7c17ab771c766055e483c4f9269b5f491939c113cb23f841c6cb81c933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7552741e8a82551d9e6de4cf8def04241c31e8ca00ed593af90d79d9f1a702ea",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-17T14:12:51Z",
    "title_canon_sha256": "a7eb07ab88290bfefae02e0e606fc93cb9fdd40ef256978baaa4f2e87c60006f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05771",
    "kind": "arxiv",
    "version": 2
  }
}