Pith Number

pith:SYPR7Q27

pith:2011:SYPR7Q27OLER6XI5BJRM6NPHIW

not attested not anchored not stored refs pending

Galois groups and cohomological functors

Ido Efrat, Jan Minac

arxiv:1103.1508 v3 · 2011-03-08 · math.NT · 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{SYPR7Q27OLER6XI5BJRM6NPHIW}

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	2026-05-18T02:18:31.872450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

961f1fc35f72c91f5d1d0a62cf35e745b42327b8621bab5ddd9e73ba20aa6602

Aliases

arxiv: 1103.1508 · arxiv_version: 1103.1508v3 · doi: 10.48550/arxiv.1103.1508 · pith_short_12: SYPR7Q27OLER · pith_short_16: SYPR7Q27OLER6XI5 · pith_short_8: SYPR7Q27

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/SYPR7Q27OLER6XI5BJRM6NPHIW \
  | 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: 961f1fc35f72c91f5d1d0a62cf35e745b42327b8621bab5ddd9e73ba20aa6602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e4f06e96c38b551588ecbdfe531634e86a2da7f0333c729b6df76b2df32ff3",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-08T12:41:12Z",
    "title_canon_sha256": "a422c6ee6f660d965c85e77c0e86bb2280bb835baebc950854a8d216b9df87ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1508",
    "kind": "arxiv",
    "version": 3
  }
}