Pith Number

pith:C4MUJZF2

pith:2007:C4MUJZF2HQE3NRAGCIUR7VZHQF

not attested not anchored not stored refs pending

On two Notions of Semistability

Mario Maican

arxiv:math/0703859 v2 · 2007-03-28 · 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{C4MUJZF2HQE3NRAGCIUR7VZHQF}

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	2026-05-18T03:07:12.436767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171944e4ba3c09b6c40612291fd72781609fa8aae5a99272aa878fa3ca31240d

Aliases

arxiv: math/0703859 · arxiv_version: math/0703859v2 · doi: 10.48550/arxiv.math/0703859 · pith_short_12: C4MUJZF2HQE3 · pith_short_16: C4MUJZF2HQE3NRAG · pith_short_8: C4MUJZF2

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/C4MUJZF2HQE3NRAGCIUR7VZHQF \
  | 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: 171944e4ba3c09b6c40612291fd72781609fa8aae5a99272aa878fa3ca31240d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f67088c6c91bb8558d27667611e9b1076264852ad2446cc1a879bb76c73d1bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-03-28T23:28:02Z",
    "title_canon_sha256": "a7b7b3bd6c40777705d3a452c20851531871d30e9cd16a578baef13a072bae7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703859",
    "kind": "arxiv",
    "version": 2
  }
}