Pith Number

pith:63ZINXP6

pith:2014:63ZINXP6KYLOE2TR4IAMMKFKPS

not attested not anchored not stored refs pending

Explicit Deformation of Lattice Ideals via Chip Firing Games on Directed Graphs

Madhusudan Manjunath, Spencer Backman

arxiv:1401.3268 v2 · 2014-01-14 · math.CO · 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{63ZINXP6KYLOE2TR4IAMMKFKPS}

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	2026-05-18T01:35:12.421153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f286ddfe5616e26a71e200c628aa7c9cb6012e3c1d96c0542f29db87fadde3

Aliases

arxiv: 1401.3268 · arxiv_version: 1401.3268v2 · doi: 10.48550/arxiv.1401.3268 · pith_short_12: 63ZINXP6KYLO · pith_short_16: 63ZINXP6KYLOE2TR · pith_short_8: 63ZINXP6

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/63ZINXP6KYLOE2TR4IAMMKFKPS \
  | 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: f6f286ddfe5616e26a71e200c628aa7c9cb6012e3c1d96c0542f29db87fadde3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f593fd2a4adc47e5c8833d907239e388de4c69484300b750d9a391549ed3ad8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-14T17:28:52Z",
    "title_canon_sha256": "069a87bb53eafd1b4c1b808ea24f9f4b25a0d7265e573a14cab8a5d381416df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3268",
    "kind": "arxiv",
    "version": 2
  }
}