Pith Number

pith:XK5QK7A5

pith:2014:XK5QK7A5OAYXYSSRCLWCNVZWRK

not attested not anchored not stored refs pending

The Betti poset in monomial resolutions

Sonja Mapes, Timothy B. P. Clark

arxiv:1407.5702 v1 · 2014-07-22 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XK5QK7A5OAYXYSSRCLWCNVZWRK}

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	2026-05-18T02:47:06.807351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

babb057c1d70317c4a5112ec26d7368ab65f27a4f6c2c05b934352dc9f8cee7b

Aliases

arxiv: 1407.5702 · arxiv_version: 1407.5702v1 · doi: 10.48550/arxiv.1407.5702 · pith_short_12: XK5QK7A5OAYX · pith_short_16: XK5QK7A5OAYXYSSR · pith_short_8: XK5QK7A5

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/XK5QK7A5OAYXYSSRCLWCNVZWRK \
  | 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: babb057c1d70317c4a5112ec26d7368ab65f27a4f6c2c05b934352dc9f8cee7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c654058fd4211008e74e6103f3090e450548aebf04a457949ab34684e312bd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-07-22T00:52:10Z",
    "title_canon_sha256": "47a94c7b2d96c975c4f66a25d29d170c47af22d953c69795796606c257a286e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5702",
    "kind": "arxiv",
    "version": 1
  }
}