Pith Number

pith:PGOPJ4FV

pith:2012:PGOPJ4FV276J2ZVN4LDWX2R5UN

not attested not anchored not stored refs pending

The Asymptotics of Symbolic Generic Initial Systems of Six Points in P2

Sarah Mayes

arxiv:1210.8203 v2 · 2012-10-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGOPJ4FV276J2ZVN4LDWX2R5UN}

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	2026-05-18T03:26:42.723378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799cf4f0b5d7fc9d66ade2c76bea3da35a8ffad7ed1035732fca1218b5e8b72b

Aliases

arxiv: 1210.8203 · arxiv_version: 1210.8203v2 · doi: 10.48550/arxiv.1210.8203 · pith_short_12: PGOPJ4FV276J · pith_short_16: PGOPJ4FV276J2ZVN · pith_short_8: PGOPJ4FV

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/PGOPJ4FV276J2ZVN4LDWX2R5UN \
  | 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: 799cf4f0b5d7fc9d66ade2c76bea3da35a8ffad7ed1035732fca1218b5e8b72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec9ca04970309eed05c96aafb0c4b05dd4bcb8880aad13de0350180f18e8685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-31T00:09:31Z",
    "title_canon_sha256": "603f361d513038824cd9577b33b20a61e4c49697aa18a458c2c84aa3c2247dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8203",
    "kind": "arxiv",
    "version": 2
  }
}