Pith Number

pith:ZSGTEIFX

pith:2026:ZSGTEIFX7MEFS5KHCBSXG4VGOG

not attested not anchored not stored refs pending

Finite-coefficient Gersten injectivity fails in ramified mixed characteristic

Niels Feld

arxiv:2608.05005 v1 · 2026-08-05 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSGTEIFX7MEFS5KHCBSXG4VGOG}

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	2026-08-06T01:48:02.245738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8d3220b7fb0859754710657372a671856de5b9f7e9beb284b142dbcb6e1817

Aliases

arxiv: 2608.05005 · arxiv_version: 2608.05005v1 · doi: 10.48550/arxiv.2608.05005 · pith_short_12: ZSGTEIFX7MEF · pith_short_16: ZSGTEIFX7MEFS5KH · pith_short_8: ZSGTEIFX

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/ZSGTEIFX7MEFS5KHCBSXG4VGOG \
  | 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: cc8d3220b7fb0859754710657372a671856de5b9f7e9beb284b142dbcb6e1817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2375785f3a6df2a31e3026624d578c2ff33531fac25cd1ffa575229c0db4c5b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2026-08-05T16:12:07Z",
    "title_canon_sha256": "d65dd05fd3e2efdd9cdc267e26915490d9128034a1558a5a337941bd17578c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05005",
    "kind": "arxiv",
    "version": 1
  }
}