Pith Number

pith:YGM7PJOD

pith:2017:YGM7PJODGQSQ3XNNDX7QHEN23E

not attested not anchored not stored refs pending

Extending group actions on metric spaces

C. Abbott, D. Hume, D. Osin

arxiv:1703.03010 v3 · 2017-03-08 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGM7PJODGQSQ3XNNDX7QHEN23E}

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	2026-05-18T00:08:23.801632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c199f7a5c334250dddad1dff0391bad93519ce0b47ede151682587b0d6cd6f33

Aliases

arxiv: 1703.03010 · arxiv_version: 1703.03010v3 · doi: 10.48550/arxiv.1703.03010 · pith_short_12: YGM7PJODGQSQ · pith_short_16: YGM7PJODGQSQ3XNN · pith_short_8: YGM7PJOD

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/YGM7PJODGQSQ3XNNDX7QHEN23E \
  | 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: c199f7a5c334250dddad1dff0391bad93519ce0b47ede151682587b0d6cd6f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a901db06ba871507d918e7aadd0e58c3bd15a8c487975e35ea6291a5215dd458",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-08T19:50:53Z",
    "title_canon_sha256": "13244642029ffde9d167f744358918e4691a5b23dc8fc13e34e4b117526968f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03010",
    "kind": "arxiv",
    "version": 3
  }
}