Pith Number

pith:R5RIGRIQ

pith:2012:R5RIGRIQ5L36I2EWZNCCYEKUC5

not attested not anchored not stored refs pending

Group actions on Segal operads

Julia E. Bergner, Philip Hackney

arxiv:1207.3465 v2 · 2012-07-14 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5RIGRIQ5L36I2EWZNCCYEKUC5}

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	2026-05-18T02:30:23.046625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f62834510eaf7e46896cb442c11541747d847e386925322f37c377315c0501d

Aliases

arxiv: 1207.3465 · arxiv_version: 1207.3465v2 · doi: 10.48550/arxiv.1207.3465 · pith_short_12: R5RIGRIQ5L36 · pith_short_16: R5RIGRIQ5L36I2EW · pith_short_8: R5RIGRIQ

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/R5RIGRIQ5L36I2EWZNCCYEKUC5 \
  | 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: 8f62834510eaf7e46896cb442c11541747d847e386925322f37c377315c0501d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f294b423a36952b2b389b31c3a9991bff3b42995fa18e325d76070ce24ddf6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-07-14T22:42:47Z",
    "title_canon_sha256": "6012fa4b0005dcaaba05cdda9debadd62279c6766c5705d3d6aeeb45bf31bb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3465",
    "kind": "arxiv",
    "version": 2
  }
}