Pith Number

pith:KECXEL4D

pith:2017:KECXEL4DZWN6XJN63ZATCKFVYY

not attested not anchored not stored refs pending

About multiplicities and applications to Bezout numbers

M. Azeem Khadam, Peter Schenzel

arxiv:1712.10144 v1 · 2017-12-29 · 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{KECXEL4DZWN6XJN63ZATCKFVYY}

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	2026-05-18T00:27:03.833383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5105722f83cd9beba5bede413128b5c631328a3c289ef9b4ad699338ef088935

Aliases

arxiv: 1712.10144 · arxiv_version: 1712.10144v1 · doi: 10.48550/arxiv.1712.10144 · pith_short_12: KECXEL4DZWN6 · pith_short_16: KECXEL4DZWN6XJN6 · pith_short_8: KECXEL4D

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/KECXEL4DZWN6XJN63ZATCKFVYY \
  | 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: 5105722f83cd9beba5bede413128b5c631328a3c289ef9b4ad699338ef088935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0791c879a9a3487667fe3a7fa5af33d6811715c3bc4bd5bb3830dbd2292edfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-29T08:32:22Z",
    "title_canon_sha256": "146287a9a2ac0405374e6f8a5301ac75a7f16f856a486c860d49c8d80d20f866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10144",
    "kind": "arxiv",
    "version": 1
  }
}