Pith Number

pith:AOJTF6C7

pith:2015:AOJTF6C7NB6WGLHHTMKZVZL5WM

not attested not anchored not stored refs pending

Syzygies of Line Bundles on GIT Quotients

Anwesh Ray, Krishna Hanumanthu

arxiv:1509.00341 v2 · 2015-09-01 · 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{AOJTF6C7NB6WGLHHTMKZVZL5WM}

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	2026-05-18T01:20:16.863103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039332f85f687d632ce79b159ae57db33d7d10f3ed04d80abd7b1af5d352b7ee

Aliases

arxiv: 1509.00341 · arxiv_version: 1509.00341v2 · doi: 10.48550/arxiv.1509.00341 · pith_short_12: AOJTF6C7NB6W · pith_short_16: AOJTF6C7NB6WGLHH · pith_short_8: AOJTF6C7

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/AOJTF6C7NB6WGLHHTMKZVZL5WM \
  | 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: 039332f85f687d632ce79b159ae57db33d7d10f3ed04d80abd7b1af5d352b7ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89832f6009d6e1642875347687e30cef376b0e9c135aaea266888c43cb9ffd72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-01T15:09:54Z",
    "title_canon_sha256": "4ca4c0a92d855ab7e81fa3bc3af779a842005242c3db5b246ff95c747895113a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00341",
    "kind": "arxiv",
    "version": 2
  }
}