Pith Number

pith:S6FK7VI2

pith:2015:S6FK7VI255H7KGOUWP7UIVX2UE

not attested not anchored not stored refs pending

On the Balance of Unrooted Trees

Mareike Fischer, Volkmar Liebscher

arxiv:1510.07882 v1 · 2015-10-27 · q-bio.PE · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6FK7VI255H7KGOUWP7UIVX2UE}

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	2026-05-18T01:28:45.078246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

978aafd51aef4ff519d4b3ff4456faa113e421e7c3762a70301d2d8208a25140

Aliases

arxiv: 1510.07882 · arxiv_version: 1510.07882v1 · doi: 10.48550/arxiv.1510.07882 · pith_short_12: S6FK7VI255H7 · pith_short_16: S6FK7VI255H7KGOU · pith_short_8: S6FK7VI2

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/S6FK7VI255H7KGOUWP7UIVX2UE \
  | 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: 978aafd51aef4ff519d4b3ff4456faa113e421e7c3762a70301d2d8208a25140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e788308c0adae4fd463308a0f008f05aabdd04545be3d3e77940afb4c66f3433",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2015-10-27T12:31:44Z",
    "title_canon_sha256": "aaa667a1c444e606b4210109208cae8b0dcbc1ea39a58e127c175def01a3a34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07882",
    "kind": "arxiv",
    "version": 1
  }
}