Pith Number

pith:JX2C3XSP

pith:2011:JX2C3XSP4RNRSXWRI6BKGD5DZO

not attested not anchored not stored refs pending

Shellability of complexes of directed trees

Du\v{s}ko Joji\'c

arxiv:1109.4475 v2 · 2011-09-21 · 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{JX2C3XSP4RNRSXWRI6BKGD5DZO}

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	2026-05-18T03:57:53.289311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df42dde4fe45b195ed14782a30fa3cbbb55954657c0b29dc9c53625a906f424

Aliases

arxiv: 1109.4475 · arxiv_version: 1109.4475v2 · doi: 10.48550/arxiv.1109.4475 · pith_short_12: JX2C3XSP4RNR · pith_short_16: JX2C3XSP4RNRSXWR · pith_short_8: JX2C3XSP

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/JX2C3XSP4RNRSXWRI6BKGD5DZO \
  | 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: 4df42dde4fe45b195ed14782a30fa3cbbb55954657c0b29dc9c53625a906f424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f56d8997ae5243e5c0a72160a01b528a61701af30fe53eb1eca03bd1930a64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-21T04:53:18Z",
    "title_canon_sha256": "f2a6a7c601520dd7e14479283d674d24e824a20d0e9c791e2c5d18c9d4dee7a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4475",
    "kind": "arxiv",
    "version": 2
  }
}