Pith Number

pith:XLB3GDIH

pith:2021:XLB3GDIHK4ZGX3J3BLXRBZOGR2

not attested not anchored not stored refs pending

Logarithmic resolution via multi-weighted blow-ups

Dan Abramovich, Ming Hao Quek

arxiv:2112.06361 v3 · 2021-12-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLB3GDIHK4ZGX3J3BLXRBZOGR2}

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	2026-05-20T14:03:15.488430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac3b30d0757326bed3b0aef10e5c68ea2b66fa2d17b2138259d6ec0ebea870c

Aliases

arxiv: 2112.06361 · arxiv_version: 2112.06361v3 · doi: 10.48550/arxiv.2112.06361 · pith_short_12: XLB3GDIHK4ZG · pith_short_16: XLB3GDIHK4ZGX3J3 · pith_short_8: XLB3GDIH

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/XLB3GDIHK4ZGX3J3BLXRBZOGR2 \
  | 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: bac3b30d0757326bed3b0aef10e5c68ea2b66fa2d17b2138259d6ec0ebea870c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff95f51b449528008a3221a56ddab152b08382a626d38a56b2b30ee50bf93b84",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-13T00:31:14Z",
    "title_canon_sha256": "022e1d7ae0efc936d5bc38b24e1631ce2bbaa20a78274ff5b43b6b0c09117aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06361",
    "kind": "arxiv",
    "version": 3
  }
}