Pith Number

pith:F2ZS3CPV

pith:2016:F2ZS3CPVDDJEFZIVTPSGYIO4BI

not attested not anchored not stored refs pending

Inertial Chow rings of toric stacks

Dan Edidin, Thomas Coleman

arxiv:1612.07107 v1 · 2016-12-21 · 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{F2ZS3CPVDDJEFZIVTPSGYIO4BI}

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	2026-05-18T00:54:14.655103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb32d89f518d242e5159be46c21dc0a0050f79c72311787a724086a1eb5bee3

Aliases

arxiv: 1612.07107 · arxiv_version: 1612.07107v1 · doi: 10.48550/arxiv.1612.07107 · pith_short_12: F2ZS3CPVDDJE · pith_short_16: F2ZS3CPVDDJEFZIV · pith_short_8: F2ZS3CPV

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/F2ZS3CPVDDJEFZIVTPSGYIO4BI \
  | 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: 2eb32d89f518d242e5159be46c21dc0a0050f79c72311787a724086a1eb5bee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204e941ab24c2824bd96b7c2632d73a6d3869aa3b29cc9596a80003c8095bfa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-21T13:46:47Z",
    "title_canon_sha256": "6a4c9c796e4953a6f48851fb1dc8dee3b1a87cc1058fa478175b976827f4277d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07107",
    "kind": "arxiv",
    "version": 1
  }
}