Pith Number

pith:WB4PSLX4

pith:2010:WB4PSLX4PJRFXDWOHBT6BXRBGD

not attested not anchored not stored refs pending

Integer hulls of linear polyhedra and scl in families

Alden Walker, Danny Calegari

arxiv:1011.1455 v3 · 2010-11-05 · math.CO · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WB4PSLX4PJRFXDWOHBT6BXRBGD}

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	2026-05-18T03:18:26.953971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b078f92efc7a625b8ece3867e0de2130c406bf981a7f17de91249222f2956da9

Aliases

arxiv: 1011.1455 · arxiv_version: 1011.1455v3 · doi: 10.48550/arxiv.1011.1455 · pith_short_12: WB4PSLX4PJRF · pith_short_16: WB4PSLX4PJRFXDWO · pith_short_8: WB4PSLX4

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/WB4PSLX4PJRFXDWOHBT6BXRBGD \
  | 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: b078f92efc7a625b8ece3867e0de2130c406bf981a7f17de91249222f2956da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f42a34e9d8022a03a904df1de28e37b3aaf3659ed46bda79a4459906bcc832",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-05T16:42:54Z",
    "title_canon_sha256": "a129a52f51d9e92a1160f4e5fa5824974c425efe53bd2bffac2105bbb2fc000e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1455",
    "kind": "arxiv",
    "version": 3
  }
}