Pith Number

pith:C6Q4RNQR

pith:2009:C6Q4RNQR4YXBSY7GGTWTSEFJQ6

not attested not anchored not stored refs pending

On reciprocality of twisted Alexander invariants

Daniel S. Silver (University of South Alabama), Jonathan A. Hillman (University of Sydney), Susan G. Williams (University of South Alabama)

arxiv:0905.2574 v1 · 2009-05-15 · 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{C6Q4RNQR4YXBSY7GGTWTSEFJQ6}

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	2026-05-18T02:41:51.262229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17a1c8b611e62e1963e634ed3910a98782dd60d549112071607d4c8a2eacb96f

Aliases

arxiv: 0905.2574 · arxiv_version: 0905.2574v1 · doi: 10.48550/arxiv.0905.2574 · pith_short_12: C6Q4RNQR4YXB · pith_short_16: C6Q4RNQR4YXBSY7G · pith_short_8: C6Q4RNQR

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/C6Q4RNQR4YXBSY7GGTWTSEFJQ6 \
  | 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: 17a1c8b611e62e1963e634ed3910a98782dd60d549112071607d4c8a2eacb96f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf47e0934702d2682fa99cfa8d804573f60c3f881ed479af73812d1602481b29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-15T15:59:33Z",
    "title_canon_sha256": "6a882c8a7ae872ca4f9e4024d29d74516f664ee4080ab9a73e76f54c154079e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2574",
    "kind": "arxiv",
    "version": 1
  }
}