Pith Number

pith:HIKYUQIK

pith:2010:HIKYUQIKIWDR56YYNAUHCPOQOQ

not attested not anchored not stored refs pending

Finiteness Theorems for Deformations of Complexes

Frauke M. Bleher, Ted Chinburg

arxiv:1009.2126 v1 · 2010-09-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIKYUQIKIWDR56YYNAUHCPOQOQ}

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	2026-05-18T03:14:30.681629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a158a410a45871efb186828713dd074371312badfeade8682ddc067ccabd183

Aliases

arxiv: 1009.2126 · arxiv_version: 1009.2126v1 · doi: 10.48550/arxiv.1009.2126 · pith_short_12: HIKYUQIKIWDR · pith_short_16: HIKYUQIKIWDR56YY · pith_short_8: HIKYUQIK

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/HIKYUQIKIWDR56YYNAUHCPOQOQ \
  | 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: 3a158a410a45871efb186828713dd074371312badfeade8682ddc067ccabd183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48bf860ae51e078d72d63de2fbb10c444d412df625de477a9f611d559f2ee058",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-11T00:59:21Z",
    "title_canon_sha256": "308a7a3044d0dc99c3ab5a08001f0e7709ded1d8387c1c0731cd19a376d61f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2126",
    "kind": "arxiv",
    "version": 1
  }
}