Pith Number

pith:AFTZ6PVV

pith:2025:AFTZ6PVV277DOL5S5MG5EQT57W

not attested not anchored not stored refs pending

On defectless unibranched simple extensions, complete distinguished chains and certain stability results

Arpan Dutta, Rumi Ghosh

arxiv:2503.07830 v3 · 2025-03-10 · math.AC · 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{AFTZ6PVV277DOL5S5MG5EQT57W}

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	2026-07-05T10:55:32.044809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01679f3eb5d7fe372fb2eb0dd2427dfdb6297fa90446497e10c0f43029510a19

Aliases

arxiv: 2503.07830 · arxiv_version: 2503.07830v3 · doi: 10.48550/arxiv.2503.07830 · pith_short_12: AFTZ6PVV277D · pith_short_16: AFTZ6PVV277DOL5S · pith_short_8: AFTZ6PVV

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/AFTZ6PVV277DOL5S5MG5EQT57W \
  | 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: 01679f3eb5d7fe372fb2eb0dd2427dfdb6297fa90446497e10c0f43029510a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6facfb4f8c6599274e5151c7e6d679a21bec318dde0c6a2fa05be8b9f216b3b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-03-10T20:23:05Z",
    "title_canon_sha256": "df3eb61577dfe8aa80bec7958455cfbc8c497f5c5c2bf875473c6a100f818804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07830",
    "kind": "arxiv",
    "version": 3
  }
}