Pith Number

pith:RHTJ56E5

pith:2018:RHTJ56E5MOFIOONO6OLC2U7G3H

not attested not anchored not stored refs pending

Limits and colimits of crossed groups

Jun Yoshida

arxiv:1802.06644 v1 · 2018-02-19 · 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{RHTJ56E5MOFIOONO6OLC2U7G3H}

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	2026-05-18T00:23:02.689149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89e69ef89d638a8739aef3962d53e6d9d414fa194d03e24881ec2cff5c8f89ba

Aliases

arxiv: 1802.06644 · arxiv_version: 1802.06644v1 · doi: 10.48550/arxiv.1802.06644 · pith_short_12: RHTJ56E5MOFI · pith_short_16: RHTJ56E5MOFIOONO · pith_short_8: RHTJ56E5

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/RHTJ56E5MOFIOONO6OLC2U7G3H \
  | 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: 89e69ef89d638a8739aef3962d53e6d9d414fa194d03e24881ec2cff5c8f89ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df98a115d997c9c836e87f42476b44a8ce2361fcc8eb75949756e3ca6c96597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-02-19T14:30:32Z",
    "title_canon_sha256": "3f460d02a94c13868b5648373b7dd54f05b1b74ed3003056d44a6f6723e1cdc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06644",
    "kind": "arxiv",
    "version": 1
  }
}