Pith Number

pith:CIFRYBOT

pith:2003:CIFRYBOTA4KG2FCNGFOAEMDCIM

not attested not anchored not stored refs pending

Using stacks to impose tangency conditions on curves

Charles Cadman

arxiv:math/0312349 v4 · 2003-12-18 · 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{CIFRYBOTA4KG2FCNGFOAEMDCIM}

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.

Cited by

1 paper in Pith

Stringy Chow rings and weighted blow ups

Receipt and verification

First computed	2026-07-04T15:01:53.276604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120b1c05d307146d144d315c0230624324726ef7729d5ddfec78b8c58554c9a7

Aliases

arxiv: math/0312349 · arxiv_version: math/0312349v4 · doi: 10.48550/arxiv.math/0312349 · pith_short_12: CIFRYBOTA4KG · pith_short_16: CIFRYBOTA4KG2FCN · pith_short_8: CIFRYBOT

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/CIFRYBOTA4KG2FCNGFOAEMDCIM \
  | 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: 120b1c05d307146d144d315c0230624324726ef7729d5ddfec78b8c58554c9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef6552044c180c5b4cf586cbd25e7e1c7d2f0dab6d1ce634ef6242c0efb9d85",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-12-18T08:41:57Z",
    "title_canon_sha256": "4d69c65802c7dea61bf2d1e2a9f0427f0e0eb396a1547790be98d7dc4e546fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312349",
    "kind": "arxiv",
    "version": 4
  }
}