Pith Number

pith:W22SRYMM

pith:2019:W22SRYMMFJNCLXIZA2DE2CYEBU

not attested not anchored not stored refs pending

On Residual and Stable Coordinates

Amartya Kumar Dutta, Animesh Lahiri

arxiv:1908.03549 v1 · 2019-08-09 · 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{W22SRYMMFJNCLXIZA2DE2CYEBU}

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	2026-07-04T23:52:40.827026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b528e18c2a5a25dd1906864d0b040d399cc5765d688d041effce4f5fdbb6f0

Aliases

arxiv: 1908.03549 · arxiv_version: 1908.03549v1 · doi: 10.48550/arxiv.1908.03549 · pith_short_12: W22SRYMMFJNC · pith_short_16: W22SRYMMFJNCLXIZ · pith_short_8: W22SRYMM

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/W22SRYMMFJNCLXIZA2DE2CYEBU \
  | 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: b6b528e18c2a5a25dd1906864d0b040d399cc5765d688d041effce4f5fdbb6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f5afb0b6899ac35bed7545e24aa22786819872065adece2e90e0982ad18d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-09T17:37:50Z",
    "title_canon_sha256": "50990d74c897cc14e564f6fe9f8a24fcc27c51dc43c7bf470ec2f1bc5e0e718f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03549",
    "kind": "arxiv",
    "version": 1
  }
}