Pith Number

pith:G76QB5OF

pith:2010:G76QB5OFPY33PTFAATAOQEXRBW

not attested not anchored not stored refs pending

Elimination of Ramification I: The Generalized Stability Theorem

Franz-Viktor Kuhlmann

arxiv:1003.5678 v1 · 2010-03-29 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G76QB5OFPY33PTFAATAOQEXRBW}

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	2026-05-18T03:29:28.061034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37fd00f5c57e37b7cca004c0e812f10da82c8c22cb8203d5378baadc4070b3fa

Aliases

arxiv: 1003.5678 · arxiv_version: 1003.5678v1 · doi: 10.48550/arxiv.1003.5678 · pith_short_12: G76QB5OFPY33 · pith_short_16: G76QB5OFPY33PTFA · pith_short_8: G76QB5OF

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/G76QB5OFPY33PTFAATAOQEXRBW \
  | 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: 37fd00f5c57e37b7cca004c0e812f10da82c8c22cb8203d5378baadc4070b3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3587b9e9ee4e508667ba226707e6688b64d59b55c5797ca3e90d3c22a8b02a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-29T21:03:34Z",
    "title_canon_sha256": "3cf8f142133d53506c772de659b5925758e6b2bac085a2e4c14ca70a94a47934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5678",
    "kind": "arxiv",
    "version": 1
  }
}