Pith Number

pith:F4MKXN63

pith:2012:F4MKXN63L52BFVMYY2LCPPI3KQ

not attested not anchored not stored refs pending

Mnev-Sturmfels universality for schemes

Ravi Vakil, Seok Hyeong Lee

arxiv:1202.3934 v2 · 2012-02-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4MKXN63L52BFVMYY2LCPPI3KQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:48:44.966684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f18abb7db5f7412d598c69627bd1b54027dadd690bff35e9165e460716e27f2

Aliases

arxiv: 1202.3934 · arxiv_version: 1202.3934v2 · doi: 10.48550/arxiv.1202.3934 · pith_short_12: F4MKXN63L52B · pith_short_16: F4MKXN63L52BFVMY · pith_short_8: F4MKXN63

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/F4MKXN63L52BFVMYY2LCPPI3KQ \
  | 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: 2f18abb7db5f7412d598c69627bd1b54027dadd690bff35e9165e460716e27f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9306d3edb99f74ebe73a94ef761a0fca6e399bd59670947f960c738ec40286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-17T15:28:59Z",
    "title_canon_sha256": "783ab2712efa498394f989d50427cfe46f15e8dc99e70a3f75fee707efb57719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3934",
    "kind": "arxiv",
    "version": 2
  }
}