Pith Number

pith:G6EICEVR

pith:2013:G6EICEVRAHV5CMCJDCGMQNTCW3

not attested not anchored not stored refs pending

Salvetti complex, spectral sequences and cohomology of Artin groups

Filippo Callegaro

arxiv:1309.3779 v1 · 2013-09-15 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6EICEVRAHV5CMCJDCGMQNTCW3}

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	2026-05-18T03:13:20.578242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37888112b101ebd13049188cc83662b6f566816bbdd29925a8d0d8916a5c17aa

Aliases

arxiv: 1309.3779 · arxiv_version: 1309.3779v1 · doi: 10.48550/arxiv.1309.3779 · pith_short_12: G6EICEVRAHV5 · pith_short_16: G6EICEVRAHV5CMCJ · pith_short_8: G6EICEVR

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/G6EICEVRAHV5CMCJDCGMQNTCW3 \
  | 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: 37888112b101ebd13049188cc83662b6f566816bbdd29925a8d0d8916a5c17aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb162298950a4a3bce1d0bdd5d2b930cd9f23d23d89bcedb7f181c6277974d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-09-15T16:57:31Z",
    "title_canon_sha256": "ed06aa95f4bc43e29658647834fd00c519d3e8810c186cb69f6b556681ea8870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3779",
    "kind": "arxiv",
    "version": 1
  }
}