Pith Number

pith:XZ6CY2K2

pith:2017:XZ6CY2K2MNZ3QCACBJNOK67NO7

not attested not anchored not stored refs pending

The multidegree of the multi-image variety

Allen Knutson, Laura Escobar

arxiv:1701.03852 v1 · 2017-01-13 · 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{XZ6CY2K2MNZ3QCACBJNOK67NO7}

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	2026-05-18T00:52:48.768381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7c2c695a6373b808020a5ae57bed77d444f912e46c35339835a67fafc0870e

Aliases

arxiv: 1701.03852 · arxiv_version: 1701.03852v1 · doi: 10.48550/arxiv.1701.03852 · pith_short_12: XZ6CY2K2MNZ3 · pith_short_16: XZ6CY2K2MNZ3QCAC · pith_short_8: XZ6CY2K2

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/XZ6CY2K2MNZ3QCACBJNOK67NO7 \
  | 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: be7c2c695a6373b808020a5ae57bed77d444f912e46c35339835a67fafc0870e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b11c3b6bcdcff388859a84ff9deb89a9092fb58e527b1c36002621a1e5ae17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-13T23:50:29Z",
    "title_canon_sha256": "6f7cfef8cba74b5b411968d541efd98415f26bd5a9fc2b43f96e7c89dcacd844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03852",
    "kind": "arxiv",
    "version": 1
  }
}