Pith Number

pith:B5BLHWAH

pith:2011:B5BLHWAHDUGN2TLUZ6FJCU7FIX

not attested not anchored not stored refs pending

Linear estimates for solutions of quadratic equations in free groups

Alina Vdovina, Olga Kharlampovich

arxiv:1107.2843 v1 · 2011-07-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5BLHWAHDUGN2TLUZ6FJCU7FIX}

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	2026-05-18T04:18:15.618096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f42b3d8071d0cdd4d74cf8a9153e545e69b9f0411de31648191bc20ed3e2749

Aliases

arxiv: 1107.2843 · arxiv_version: 1107.2843v1 · doi: 10.48550/arxiv.1107.2843 · pith_short_12: B5BLHWAHDUGN · pith_short_16: B5BLHWAHDUGN2TLU · pith_short_8: B5BLHWAH

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/B5BLHWAHDUGN2TLUZ6FJCU7FIX \
  | 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: 0f42b3d8071d0cdd4d74cf8a9153e545e69b9f0411de31648191bc20ed3e2749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35def648c68ab3dec2031e05ef6a00949aa2343004755e3899b5fea3f3b0eeea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-14T14:52:43Z",
    "title_canon_sha256": "a531c9b4c39b41af3233c512e92121045eef184739f41bcde5268adbb0a81c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2843",
    "kind": "arxiv",
    "version": 1
  }
}