Pith Number

pith:TVQFQNPK

pith:2017:TVQFQNPKVVGRXOGEK3N4ZKPYCL

not attested not anchored not stored refs pending

Stability in the homology of unipotent groups

Andrew Putman, Andrew Snowden, Steven V Sam

arxiv:1711.11080 v4 · 2017-11-29 · math.AT · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVQFQNPKVVGRXOGEK3N4ZKPYCL}

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	2026-07-05T00:48:35.928826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d605835eaad4d1bb8c456dbcca9f812ca9bf44e87262c81b185c3dcb94374bb

Aliases

arxiv: 1711.11080 · arxiv_version: 1711.11080v4 · doi: 10.48550/arxiv.1711.11080 · pith_short_12: TVQFQNPKVVGR · pith_short_16: TVQFQNPKVVGRXOGE · pith_short_8: TVQFQNPK

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/TVQFQNPKVVGRXOGEK3N4ZKPYCL \
  | 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: 9d605835eaad4d1bb8c456dbcca9f812ca9bf44e87262c81b185c3dcb94374bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b94ca83a8803240106170e196e9f5486f4b1a4327630ff9f0af6e7534e5efa9",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-29T19:55:59Z",
    "title_canon_sha256": "bb829ac76e23389dec5abca84ee88d0821689b22d1da9d5aa42f4767a6c40355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11080",
    "kind": "arxiv",
    "version": 4
  }
}