Pith Number

pith:GW6RVYH2

pith:2026:GW6RVYH2BOF7OWXWRWIZMNP4VX

not attested not anchored not stored refs pending

Homological shift ideals of weighted oriented graphs

Joydip Mondal, Manohar Kumar, Ramakrishna Nanduri

arxiv:2608.02170 v1 · 2026-08-03 · 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{GW6RVYH2BOF7OWXWRWIZMNP4VX}

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	2026-08-04T02:11:11.020598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35bd1ae0fa0b8bf75af68d919635fcade996c2b8155700e23323523b83fbc59e

Aliases

arxiv: 2608.02170 · arxiv_version: 2608.02170v1 · doi: 10.48550/arxiv.2608.02170 · pith_short_12: GW6RVYH2BOF7 · pith_short_16: GW6RVYH2BOF7OWXW · pith_short_8: GW6RVYH2

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/GW6RVYH2BOF7OWXWRWIZMNP4VX \
  | 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: 35bd1ae0fa0b8bf75af68d919635fcade996c2b8155700e23323523b83fbc59e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69beaf24fce2b85a00ccc86a288e1d98e134bd509c8994945b54d02e97e504e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-08-03T12:51:22Z",
    "title_canon_sha256": "d8b2f105c62b20eed6d38bcc784263af67423b552863fe2b3f2db791da1e0464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02170",
    "kind": "arxiv",
    "version": 1
  }
}