Pith Number

pith:VYI2ILYM

pith:2012:VYI2ILYMOO4FJENH4E2DIS73EB

not attested not anchored not stored refs pending

Diagrams encoding group actions on $\Gamma$-spaces

Julia E. Bergner, Philip Hackney

arxiv:1212.4542 v3 · 2012-12-19 · 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{VYI2ILYMOO4FJENH4E2DIS73EB}

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	2026-05-18T01:24:04.599377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae11a42f0c73b85491a7e134344bfb204923239dde21fe72cb6b244590980264

Aliases

arxiv: 1212.4542 · arxiv_version: 1212.4542v3 · doi: 10.48550/arxiv.1212.4542 · pith_short_12: VYI2ILYMOO4F · pith_short_16: VYI2ILYMOO4FJENH · pith_short_8: VYI2ILYM

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/VYI2ILYMOO4FJENH4E2DIS73EB \
  | 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: ae11a42f0c73b85491a7e134344bfb204923239dde21fe72cb6b244590980264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671b68742c2a2633a391f900c69cb653842f33b06d2d8cb73dea5741d5d5953c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-19T00:08:10Z",
    "title_canon_sha256": "9e078c1ab820c68f36c57b005eaf6c39dd8e9d33783e85bce2d0deacf686b41d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4542",
    "kind": "arxiv",
    "version": 3
  }
}