Pith Number

pith:NMIW2M4Q

pith:2011:NMIW2M4QU4R4NTDZXD5BY36FZO

not attested not anchored not stored refs pending

Canonical systems and their limits on stable curves

Ziv Ran

arxiv:1104.4747 v3 · 2011-04-25 · 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{NMIW2M4QU4R4NTDZXD5BY36FZO}

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	2026-05-18T03:09:23.239071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b116d3390a723c6cc79b8fa1c6fc5cb9a7406bfda64aa5fd119ee54e93b4b62

Aliases

arxiv: 1104.4747 · arxiv_version: 1104.4747v3 · doi: 10.48550/arxiv.1104.4747 · pith_short_12: NMIW2M4QU4R4 · pith_short_16: NMIW2M4QU4R4NTDZ · pith_short_8: NMIW2M4Q

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/NMIW2M4QU4R4NTDZXD5BY36FZO \
  | 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: 6b116d3390a723c6cc79b8fa1c6fc5cb9a7406bfda64aa5fd119ee54e93b4b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c76d7f9dd419a318aa33ee56e7972730635ee9747ef6801b0917b5b2fda36af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-25T16:36:40Z",
    "title_canon_sha256": "6cc41aae5318f340591e5c7cf8b13e5253dbb35f7a03ddc90e0064426367a1e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4747",
    "kind": "arxiv",
    "version": 3
  }
}