Pith Number

pith:CT6UEB67

pith:2013:CT6UEB67K23SFMZKHR4PG5UDWN

not attested not anchored not stored refs pending

The F2 Cohomology of Sol^3-Manifolds

Jonathan A. Hillman

arxiv:1301.1076 v1 · 2013-01-06 · 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{CT6UEB67K23SFMZKHR4PG5UDWN}

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	2026-05-18T02:47:16.247452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14fd4207df56b722b32a3c78f37683b3430d5b05012d2df5874fe9074b630671

Aliases

arxiv: 1301.1076 · arxiv_version: 1301.1076v1 · doi: 10.48550/arxiv.1301.1076 · pith_short_12: CT6UEB67K23S · pith_short_16: CT6UEB67K23SFMZK · pith_short_8: CT6UEB67

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/CT6UEB67K23SFMZKHR4PG5UDWN \
  | 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: 14fd4207df56b722b32a3c78f37683b3430d5b05012d2df5874fe9074b630671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca986de226f3a681e8f2a4e6418021735e59d6103188aaac86592216754c7ac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-06T23:42:40Z",
    "title_canon_sha256": "f72ee7c1734fed1eb14c6d5b6503057a145006d79ef689e84bd812cfff617bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1076",
    "kind": "arxiv",
    "version": 1
  }
}