Pith Number

pith:5V5AADAL

pith:2015:5V5AADALHMKTMG2XWXTBDUGKEY

not attested not anchored not stored refs pending

Eliminating Higher-Multiplicity Intersections, III. Codimension 2

A. Skopenkov, I. Mabillard, S. Avvakumov, U. Wagner

arxiv:1511.03501 v5 · 2015-11-11 · math.GT · cs.CG · 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{5V5AADALHMKTMG2XWXTBDUGKEY}

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	2026-07-05T04:13:07.809089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7a000c0b3b15361b57b5e611d0ca262ebdb31b05f8fa501a3959893af673a5

Aliases

arxiv: 1511.03501 · arxiv_version: 1511.03501v5 · doi: 10.48550/arxiv.1511.03501 · pith_short_12: 5V5AADALHMKT · pith_short_16: 5V5AADALHMKTMG2X · pith_short_8: 5V5AADAL

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/5V5AADALHMKTMG2XWXTBDUGKEY \
  | 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: ed7a000c0b3b15361b57b5e611d0ca262ebdb31b05f8fa501a3959893af673a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64046f4a6400755b99d259cb8d2b92ccabb939405bb9d135c67ce14e72b3ded",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-11T13:47:38Z",
    "title_canon_sha256": "a271613895e6c9887e73f642050034dbb5a11ebc0d05d0e91b7692d040712c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03501",
    "kind": "arxiv",
    "version": 5
  }
}