Pith Number

pith:FSV6VFFX

pith:2021:FSV6VFFXJCCDCUHOIDQR2B57WQ

not attested not anchored not stored refs pending

Rank $r$ DT theory from rank $1$

Richard P. Thomas, Soheyla Feyzbakhsh

arxiv:2108.02828 v2 · 2021-08-05 · math.AG · hep-th · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSV6VFFXJCCDCUHOIDQR2B57WQ}

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	2026-07-05T09:41:25.282748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cabea94b748843150ee40e11d07bfb416dda79741f824badfc705cf8dd18525

Aliases

arxiv: 2108.02828 · arxiv_version: 2108.02828v2 · doi: 10.48550/arxiv.2108.02828 · pith_short_12: FSV6VFFXJCCD · pith_short_16: FSV6VFFXJCCDCUHO · pith_short_8: FSV6VFFX

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/FSV6VFFXJCCDCUHOIDQR2B57WQ \
  | 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: 2cabea94b748843150ee40e11d07bfb416dda79741f824badfc705cf8dd18525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e324739e67dd7037b1d2318b84b52763d030d099e80431aa4009313bae446782",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-08-05T19:36:17Z",
    "title_canon_sha256": "639d36cd1d5bbb82c0a8285923c10b8e66e64b938dd9b0eabd4757534a5c946b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02828",
    "kind": "arxiv",
    "version": 2
  }
}