Pith Number

pith:V3RSZYWQ

pith:2025:V3RSZYWQ44ARNQTAIPSX6LZTY4

not attested not anchored not stored refs pending

Coherent functors, powers of ideals, and asymptotic stability

Dipankar Ghosh, Samarendra Sahoo, Siddhartha Pramanik, Souvik Dey, Tony J. Puthenpurakal

arxiv:2506.00529 v1 · 2025-05-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3RSZYWQ44ARNQTAIPSX6LZTY4}

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	2026-07-05T11:13:36.554586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee32ce2d0e70116c26043e57f2f33c72bc97e58d1de4a447f22c29b23383721

Aliases

arxiv: 2506.00529 · arxiv_version: 2506.00529v1 · doi: 10.48550/arxiv.2506.00529 · pith_short_12: V3RSZYWQ44AR · pith_short_16: V3RSZYWQ44ARNQTA · pith_short_8: V3RSZYWQ

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/V3RSZYWQ44ARNQTAIPSX6LZTY4 \
  | 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: aee32ce2d0e70116c26043e57f2f33c72bc97e58d1de4a447f22c29b23383721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7467469fbd527496ebbcffcb04266a640c0c098ef1d63c326e816e91ebd7a308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-05-31T12:25:23Z",
    "title_canon_sha256": "0a5f21ff89a72a4d8f7be83ea12d47fb690996100b69716b0cde2fcc92712631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00529",
    "kind": "arxiv",
    "version": 1
  }
}